- Analysis-seminar - Mailing list — Dipartimento di Matematica, UniPI

OGGI - ore 14:00 - Centro de Giorgi - doppio seminario di analisi geometrica
by Alessandra Pluda 07 Jul '26

07 Jul '26

Buongiorno, per chi fosse interessato, oggi al Centro de Giorgi (Sala Conferenze) abbiamo un doppio appuntamento con i seminari di analisi geometrica. Alle ore 14:00 Marco Badran ci parlerà di "Allen-Cahn solutions from the Plateau problem" https://cvgmt.sns.it/seminar/986/ A seguire, alle ore 15:00 avremo Michele Caselli con "Pointwise commutator identities for the fractional Laplacian". https://cvgmt.sns.it/seminar/987/ A dopo, Alessandra e Andrea

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Annuncio seminario: martedì 23 giugno - Nicola Picenni
by Ilaria Lucardesi 22 Jun '26

22 Jun '26

Care tutte, cari tutti, la prossima settimana, nell’ambito del ciclo Seminari di Analisi, avremo il piacere di ascoltare Nicola Picenni (Università di Pisa...ancora per poco!), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=6a3069416ec21225b3f57d4a> <https://www.dm.unipi.it/seminario/?id=6a3069416ec21225b3f57d4a> dal titolo “A notion of fractional area in codimension 2”. Il seminario si terrà martedì 23 giugno alle ore 16:30, in Saletta Riunioni. Trovate l’abstract qui sotto. A presto, Ilaria ----------------------------------- Dear all, next week, as part of the Analysis Seminar Series, we will have the pleasure of listening to Nicola Picenni (Università di Pisa...but not for much longer!), who will give a talk<https://www.dm.unipi.it/seminario/?id=6a3069416ec21225b3f57d4a> <https://www.dm.unipi.it/seminario/?id=6a3069416ec21225b3f57d4a> titled “A notion of fractional area in codimension 2”. The seminar will take place on Tuesday, june 23, at 4:30 PM, in Saletta Riunioni. You will find the abstract below. See you soon, Ilaria ----------------------------------- Speaker: Nicola Picenni (Università di Pisa) Title: A notion of fractional area in codimension 2 Abstract: We consider a notion of fractional s-area for codimension 2 surfaces in a closed Riemannian manifold or the Euclidean space, which can be seen as an extension of the fractional perimeter to higher codimension. The definition involves a minimum problem over a class of circle-valued maps having prescribed singularities on the given surface. We discuss various properties of the s-area when s is fixed, including some regularity properties of the minimizer (which might be of independent interest). We also show that when s tends to 1 the s-area Gamma-converges, with coercivity, to the classical area in the framework of currents. The talk is based on a joint project with Michele Caselli and Mattia Freguglia.

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Colloquium - 10/06/2026 at 16:00 - Aula Magna - reminder
by Ilaria Lucardesi 09 Jun '26

09 Jun '26

Care tutte e cari tutti, vi ricordiamo che il prossimo Colloquium di dipartimento si svolgerà domani alle ore 16 in Aula Magna, con oratrice Gigliola Staffilani (Massachusetts Institute of Technology (MIT)). Trovate qui sotto tutti i dettagli. Speriamo di vedervi numerosi! Un caro saluto, Chiara, Davide e Ilaria ________________________________ Care tutte e cari tutti, Siamo lieti di invitarvi al prossimo Colloquium <https://www.dm.unipi.it/seminario/?id=69e659cd84f0900654e8e363> di Dipartimento, che si terrà mercoledì 10 giugno alle ore 16:00 in Aula Magna. In questa occasione, Gigliola Staffilani<https://math.mit.edu/~gigliola/> <https://math.mit.edu/~gigliola/> (Massachusetts Institute of Technology (MIT)) terrà un seminario dal titolo "The Study of Wave Turbulence: A Breeding Ground for Mathematical Techniques" L'abstract dell'intervento è riportato in fondo a questa email. La ricerca di Gigliola Staffilani si situa nell'ambito delle equazioni differenziali alle derivate parziali e analisi armonica, in particolare PDE nonlineari dispersive. La professoressa Staffilani ha ricevuto numerosi riconoscimenti internazionali, è titolare della cattedra Abby Rockefeller Mauzé di Matematica al MIT, ed è membro della National Academy of Sciences e della American Academy of Arts and Sciences. L'incontro è aperto a tutti gli interessati, anche non specialisti. Il colloquio sarà seguito da un rinfresco con la relatrice. Speriamo di vedervi numerosi! Un caro saluto, Chiara, Davide e Ilaria ------------------------------------------------------------- Dear all, We are pleased to invite you to the next Department Colloquium<https://www.dm.unipi.it/seminario/?id=69e659cd84f0900654e8e363>, which will take place on Wednesday 10 June at 4:00 pm in the Aula Magna. On this occasion, Gigliola Staffilani<https://math.mit.edu/~gigliola/> <https://math.mit.edu/~gigliola/> (Massachusetts Institute of Technology (MIT)) will give a talk with title "The Study of Wave Turbulence: A Breeding Ground for Mathematical Techniques" The abstract of the talk is included at the end of this email. Gigliola Staffilani’s research focuses on partial differential equations and harmonic analysis, specifically on non-linear dispersive PDEs. Professor Staffilani has received numerous international awards, she holds the Abby Rockefeller Mauzé Professorship in Mathematics at MIT, and she is an elected member of both the National Academy of Sciences and the American Academy of Arts and Sciences. The event is open to all interested participants, including non-specialists. The colloquium will be followed by refreshments with the speaker. We hope to see many of you there! Best regards, Chiara, Davide and Ilaria ------------------------------------------------------------- Speaker: Gigliola Staffilani, Massachusetts Institute of Technology (MIT) Title: The Study of Wave Turbulence: A Breeding Ground for Mathematical Techniques Abstract: Wave turbulence theory provides a unifying framework for analyzing the nonlinear interactions of dispersive waves across diverse physical regimes. These interactions manifest over an extensive range of scales and media, encompassing phenomena such as gravitational waves in astrophysical contexts, surface waves in fluid dynamics, coherent structures in quantum systems, and even pattern formation in everyday fluid flows. Despite their widespread occurrence, the mathematical analysis of such systems remains exceptionally challenging due to the interplay between nonlinearity, dispersion, and randomness. These difficulties have catalyzed the development of sophisticated analytical and probabilistic tools, drawing from partial differential equations, statistical mechanics, and dynamical systems theory. In this lecture, I will present a short survey of recent advances in the rigorous treatment of wave turbulence, emphasizing key techniques, foundational results, and open problems. Some attention will be given to the derivation of kinetic equations, and the role of resonant interactions in the long-time dynamics of weakly nonlinear wave systems.

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Reminder seminario venerdì 05 giugno ore 11 - A.Briani
by Luigi Forcella 03 Jun '26

03 Jun '26

Care tutte, cari tutti, vi ricordo il prossimo seminario<https://www.dm.unipi.it/seminario/?id=69f1ba20fd916392f8c014b5> di Analisi di venerdì 05 giugno, con speaker Ariela Briani (Université de Tours). Il seminario sarà alle 11:00 in Aula Riunioni. A presto, Luigi ----------------------------------- Dear all, this is a reminder of the next Analysis Seminar<https://www.dm.unipi.it/seminario/?id=69f1ba20fd916392f8c014b5> by Ariela Briani (Université de Tours), on Friday, 05 June. The seminar will be at 11 AM in Aula Riunioni. Best regards, Luigi

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seminar - Mattia Magnabosco - Tuesday, April 28, 10:00, Aula Seminari
by Alessandra Pluda 28 Apr '26

28 Apr '26

Dear all, we are pleased to announce the next appointment of the joint UNIPI-SNS Geometric Analysis Seminar. This week the speaker is Mattia Magnabosco, from University of Oxford. Tuesday, April 28, 10:00, Aula Seminari - Dipartimento di Matematica - UNIPI Title: New topological restrictions for spaces with nonnegative Ricci curvature Abstract: The topology of complete noncompact Riemannian manifolds with nonnegative Ricci curvature has been studied extensively since the earliest developments of Geometric Analysis. In dimension 3, a complete topological classification was only recently achieved by Gang Liu, with a strategy based on minimal surfaces methods. They proved that a 3-dimensional Riemannian manifold with nonnegative Ricci curvature either is homeomorphic to R^3 or the universal cover splits a line isometrically. In this talk, I present an alternative proof of Liu’s classification, which also works for nonsmooth RCD(0,3) spaces. This generalisation of Liu’s theorem yields, as a consequence, the full classification of non-collapsed RCD(0,3) spaces without boundary. Our strategy relies on two main building blocks of independent interest, which provide results that are new also in the smooth setting. In particular, we prove that, given a complete n-dimensional Riemannian manifold (M,g) with nonnegative Ricci curvature and first Betti number b_1(M) ≥ n-2, the universal cover splits R^{n-2} isometrically. Moreover, we show that every complete oriented n-dimensional Riemannian manifold with nonnegative Ricci curvature has vanishing simplicial volume. This is a joint work with Alessandro Cucinotta and Daniele Semola.

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Seminario fisica-matematica lunedì 27 aprile
by Luigi Forcella 21 Apr '26

21 Apr '26

Care tutte, cari tutti, Inoltro il seguente annuncio di un seminario di Fisica-Matematica che può essere di interesse anche per un pubblico più vasto. Lunedì 17 aprile 2026, ore 14, in Aula Seminari Matteo Gallone (Milano, La Statale) terrà un seminario<https://www.dm.unipi.it/seminario/?id=69e393af84f0900654e87dfa> dal titolo "Prethermalization and quasi-conserved quantities in Many-Body quantum systems with time-dependent Hamiltonians”. Trovate l’abstract qui sotto. A presto, Luigi ----------------------------------- Dear all, I am pleased to forward the announcement of an upcoming Math-Physics seminar that may be of interest to a broad audience. On Monday, April 27, 2 pm, in Aula Seminari Matteo Gallone (Milano, La Statale) will give a talk<https://www.dm.unipi.it/seminario/?id=69e393af84f0900654e87dfa> with title "Prethermalization and quasi-conserved quantities in Many-Body quantum systems with time-dependent Hamiltonians”. You will find the abstract below. See you soon, Luigi ----------------------------------- Speaker: Matteo Gallone (University of Milan, La Statale) Title: Prethermalization and quasi-conserved quantities in Many-Body quantum systems with time-dependent Hamiltonians Abstract: Understanding thermalization, i.e. the relaxation of a physical system to thermal equilibrium, is a central problem in statistical physics. It is now well established that the presence of non-trivial quasi-conserved quantities can significantly slow down this process, leading to long-lived quasi-stationary states known as prethermal states. The approach to such states is referred to as prethermalization. In many-body quantum systems, external driving provides a powerful mechanism to engineer and control prethermal states. In the absence of many-body localization, general theoretical arguments predict that time-dependent perturbations ultimately drive the system toward a featureless infinite-temperature Gibbs state. However, both rigorous results and experiments show that, under fast periodic driving, fermionic quantum lattice systems can exhibit exponentially long-lived prethermal regimes, largely independent of the regularity of the drive. The situation becomes even richer for quasi-periodic driving, i.e., when the system is driven by a superposition of incommensurate frequencies. In this case, the regularity of the driving plays a crucial role in determining the lifetime of the prethermal regime. In this talk, I will review the problem and survey recent rigorous results, focusing in particular on the case of finitely differentiable drivings. In this setting, the prethermal state persists for polynomially long times in the driving frequency. I will also explain how to determine the optimal exponents governing this behavior. The analysis combines techniques from Hamiltonian perturbation theory adapted to quantum lattice systems, cluster expansions, and Lieb–Robinson bounds. This is joint work with Beatrice Langella. ----------- Luigi Forcella, Associate Professor University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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seminar by Davide Parise - 16 Apr, 16:30, aula Riunioni
by Alessandra Pluda 12 Apr '26

12 Apr '26

Dear all, we are pleased to announce the next appointment of the joint UNIPI-SNS Geometric Analysis Seminar. This week the speaker is Davide Parise, from Imperial College London. Thursday, April 16, 16:30, Aula Riunioni - Dipartimento di Matematica - UNIPI Title: From phase transitions to minimal submanifolds in low codimensions Abstract: Minimal submanifolds—critical points of the area functional—play a central role in geometric analysis, with deep connections to differential geometry, topology, and the calculus of variations. A major breakthrough in their existence theory came with Almgren’s min–max framework in the 1960s, which provides a powerful but technically intricate approach to constructing minimal submanifolds in great generality. In recent years, a new PDE-based perspective has emerged, inspired by models from phase transitions and superconductivity. The guiding principle is to realize minimal submanifolds as limits of nodal sets of critical points of elliptic functionals. In this talk, I will first give an overview of this variational–PDE framework. Using ongoing series of works with collaborators as examples, I will show how it can offer new conceptual insights and, in some settings, greater flexibility than classical min–max techniques. In codimension one, I will focus on the Allen–Cahn functional and explain how it can be used to construct minimal hypersurfaces with free boundary, i.e. meeting the ambient boundary orthogonally. We will then move to higher codimensions (specifically codimensions 2 and 3), where the theory is much less developed. Here, I will discuss the abelian and non-abelian Yang–Mills–Higgs functionals as natural higher codimension analogues and present recent progress in this setting. I will highlight other successes of this theory, and point to some open problems. The content of this talk is based on joint works with Martin Li, Lorenzo Sarnataro, Alessandro Pigati, and Daniel Stern.

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seminario di Analisi l'11 marzo (domani): Neves
by Giovanni Alberti 10 Mar '26

10 Mar '26

Cari/e tutti/e vi ricordo il seguente seminario domani pomeriggio: Dear all, let me I remind you about the following talk scheduled for tomorrow afternoon: Giovanni ====================== date/time/place: Wednesday March 11, 17.00-18.00, Sala Riunioni speaker: Wladimir Neves (Universidade Federal do Rio de Janeiro) title: The Hele-Shaw free boundary limit of Buckley-Leverett System abstract: In this talk, we propose a new approach to solving the Buckley-Leverett System, which is to consider a compressible approximation model characterized by a stiﬀ pressure law. Passing to the incompressible limit, the compressible model gives rise to a Hele-Shaw type free boundary limit of Buckley-Leverett System, and it is shown the existence of a weak solution of it. https://www.dm.unipi.it/en/seminar/?id=69a9a28d5874b2b824ec5ead ====================== (The announcement should have been included in the weekly summary, but I could not check last week summary: I simply did not find in my email.) -- ________________________________________________________ Prof. Giovanni ALBERTI Dipartimento di Matematica, Università di Pisa largo Pontecorvo 5 I-56127 Pisa ITALY e-mail: giovanni.alberti(a)unipi.it phone: +39 050 2213 239 virtual office: https://meet.google.com/rmt-jyke-iyw webpage: http://pagine.dm.unipi.it/alberti ________________________________________________________

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Annuncio seminario giovedì 19 - Bevilacqua
by Ilaria Lucardesi 18 Feb '26

18 Feb '26

Care tutte, cari tutti, la prossima settimana, nell’ambito del ciclo Seminari di Analisi, avremo il piacere di ospitare Giulia Bevilacqua (Università Ca' Foscari, Venezia), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=698ec366dd82ea23a82021df> dal titolo “The incompressible limit in tumor growth models: from Aronson–Bénilan estimate to free boundary regularity.” Il seminario si terrà giovedì 19 febbraio alle ore 17, in Sala Riunioni. Trovate l’abstract qui sotto. A presto, Ilaria ----------------------------------- Dear all, next week, as part of the Analysis Seminar Series, we will have the pleasure of hosting Giulia Bevilacqua (Università Ca' Foscari, Venezia), who will give a seminar<https://www.dm.unipi.it/seminario/?id=698ec366dd82ea23a82021df> entitled “The incompressible limit in tumor growth models: from Aronson–Bénilan estimate to free boundary regularity.” The seminar will take place on Thursday, February 19 at 5 pm, in Sala Riunioni. You will find the abstract below. See you soon, Ilaria ----------------------------------- Speaker: Giulia Bevilacqua (Università Ca' Foscari, Venezia) Title: The incompressible limit in tumor growth models: from Aronson–Bénilan estimate to free boundary regularity Abstract: We discuss recent results on incompressible limits and free boundary problems arising in tumor growth modeling. We first revisit classical bounds for the pressure field in the porous medium equation, extending the Aronson-Bénilan estimate. Then, we focus on the geometric free boundary limit in a specific setting, where the tumor is constrained within a bounded domain, part of which is inaccessible and acts as an obstacle. We investigate the existence of viscosity solutions and analyze the regularity of the associated free boundary. This talk is based on two papers obtained, respectively, in collaboration with B. Perthame (LJLL) & M. Schmidtchen (TUM) and M. Carducci (SNS).

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Workshop
by Matteo Novaga 17 Feb '26

17 Feb '26

Segnalo questo workshop, che si terrà domani e giovedì nella nostra aula magna: Analysis of Nonlinear PDE https://pagine.dm.unipi.it/berselli/meeting2026/ Saluti, Matteo

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seminar by Averil Aussedat - 24 Feb, 11:30, aula Bianchi
by Alessandra Pluda 17 Feb '26

17 Feb '26

Dear all, we are pleased to announce the next appointment of the joint UNIPI-SNS Geometric Analysis Seminar. Next week the speaker is Averil Aussedat, a member of our Math Department. Tuesday, February 24, 11:30, Aula Bianchi - SNS Title: Locality of the centred Wasserstein tangent cone Abstract: Wasserstein geodesics in the space of measures are minimizing an integral cost, that is, a global compromise between local contributions. We show that a particular subset of geodesics is instead characterized by a local condition, which is linked to a decomposition of the initial measure in pieces of "constant dimension''. This has already been observed in smooth cases by Lott, and justified using PDEs: our argument is almost only based on convex analysis, and does not need restriction on the measure.

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PDE Workshop announcement - 16/17 February 2026
by Luigi Forcella 10 Feb '26

10 Feb '26

Dear all, I’m pleased to announce the workshop Recent developments in PDEs: theory and applications. A conference in honour of Vladimir Georgiev's 70th birthday, which will take place on February 16-17 at the Department of Mathematics of the University of Pisa. The speakers for this 2 days event will be: Berti (Sissa), Colombini (Pisa), Cuccagna (Trieste), D’Ancona (Roma Sapienza), Lucente (Bari), Marcati (GSSI), Michelangeli (AUBG), Salt (Paris Saclay), Scandone (Napoli Federico II), Tarulli (AUBG), Tzvetkov (ENS, Lyon), Vega (BCAM). All the relevant informations (schedule and abstracts) can be found at the workshop webpage<https://pagine.dm.unipi.it/forcella/VG/70.html>. Best regards, Luigi ----------- Luigi Forcella, Associate Professor University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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Annuncio nuovo ciclo di seminari - primo evento lunedì 2 febbraio
by Luigi Forcella 31 Jan '26

31 Jan '26

Cari tutti e care tutte, Siamo lieti di annunciare che lunedì inizierà un nuovo ciclo di seminari di Analisi dal titolo “Cosa non sono riuscito (ancora) a dimostrare”. Lo scopo di questi eventi è quello di offrire seminari rivolti a una platea di non specialisti (ma non solo!) riguardo problemi ancora aperti o non ancora ben compresi del tutto. Il primo seminario sarà intitolato "The Kirchhoff Equation: 150 Years of History — and Not Showing Its Age” con speaker Massimo Gobbino (Università di Pisa). L’evento si terrà Lunedì 02 Febbraio alle ore 16 nell'Aula Magna del Dipartimento di Matematica. Maggiori dettagli sono disponibili al seguente link<https://www.dm.unipi.it/en/seminar/?id=697ba30bca1161a6f8767dbb>. Ci auguriamo di vedervi numerosi! A presto, Luigi. ——— Dear all, Next Monday we will host the first event of a new seminar series “What I Haven’t Managed to Prove (Yet)”. The idea behind the series is to offer research talks aimed at a non-specialist audience, with a special focus on open problems and things that are still not fully understood . The first seminar will be: "The Kirchhoff Equation: 150 Years of History — and Not Showing Its Age" with speaker Massimo Gobbino (Pisa University). The seminar will take place on Monday, 02 February at 4pm in the Aula Magna of the Department of Mathematics. You can find more details at this link<https://www.dm.unipi.it/seminario/?id=697ba30bca1161a6f8767dbb>. Hope to see many of you there! Best wishes, Luigi ----------- Luigi Forcella, Associate Professor University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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Annuncio doppio seminario giovedì 5 febbraio
by Luigi Forcella 29 Jan '26

29 Jan '26

Cari tutti e care tutte, Giovedì prossimo, 05 Febbraio, ci saranno due seminari di Analisi. Gli speaker dell’evento, intitolato “A nonlinear afternoon in Pisa" saranno Giovanni Molica Bisci (Università San Raffaele) e Raffaella Servadei (Università di Urbino Carlo Bo). Il programma è il seguente: * Ore 16:00. R. Servadei: Fractional problems with critical growth. * Ore 17:00. G. Monica Bisci: Elliptic problems in higher dimensional spheres. Trovate i dettagli a questo link<https://www.dm.unipi.it/en/seminar/?id=692988f2adce1d7e1b2d3f7d>. A presto, Luigi. ——— Dear all, On Thursday, 05 February, there will be the event “A nonlinear afternoon in Pisa”. The speakers for this two-seminar event will be Giovanni Molica Bisci (San Raffaele University) and Raffaella Servadei (University of Urbino, Carlo Bo). The schedule is as follows: * 4pm: R. Servadei: Fractional problems with critical growth. * 5pm: G. Monica Bisci: Elliptic problems in higher dimensional spheres. You can find a detailed program at this link<https://www.dm.unipi.it/en/seminar/?id=692988f2adce1d7e1b2d3f7d>. Best regards, Luigi ----------- Luigi Forcella, Associate Professor University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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Annuncio seminario venerdì 23 gennaio + reminder seminario mercoledì 21 gennaio
by Luigi Forcella 21 Jan '26

21 Jan '26

Care tutte e cari tutti, Questo Venerdì, 23 gennaio 2026, nell’ambito dei Seminari di Analisi, avremo il piacere di ascoltare Jule Schindler (Friedrich-Alexander-Universität Erlangen-Nürnberg), che terrà un seminario dal titolo “The Nonlocal-to-Local Limit for the Inviscid Leray-α Equations”. Il seminario si terrà in Aula Seminari ex-DMA alle ore 16:30. Trovate l’abstract qui sotto. Ricordo inoltre che Mercoledì 21, ore 16 in Aula Magna, ci sarà il seminario di R. F. Horta, dal titolo “Poincaré constants, fundamental frequencies and the isoanisotropic problem”. A presto, Luigi ——— Dear all, On Friday, 23 January 2026, as part of the Analysis Seminar Series, we will have the pleasure of hosting Jule Schindler (Friedrich-Alexander-Universität Erlangen-Nürnberg), who will give a seminar entitled “The Nonlocal-to-Local Limit for the Inviscid Leray-α Equations” The seminar will take place in the Aula Seminari ex-DMA at 4:30 p.m. You will find the abstract below. I also remind you that on Wednesday, 21 January at 4 p.m. in Aula Magna, there will be the seminar by R. F. Horta entitled “Poincaré constants, fundamental frequencies and the isoanisotropic problem”. Best regards, Luigi ——— Speaker: Jule Schindler (Friedrich-Alexander-Universität Erlangen-Nürnberg) Title: The Nonlocal-to-Local Limit for the Inviscid Leray-α Equations Abstract: We consider the inviscid Leray-α equations -- an inviscid nonlocal regularisation of the Euler equations -- on [0,T]×Ω[0,T]×Ω, α {∂tvα+(uα⋅∇)vα+∇pα=0,vα=uα−α2Δuα,div⁡vα=div⁡uα=0,vα(0,⋅)=v0α,⎩⎨⎧∂tvα+(uα⋅∇)vα+∇pα=0,vα=uα−α2Δuα,divvα=divuα=0,vα(0,⋅)=v0α, with Ω⊂RdΩ⊂Rd, d=2,3d=2,3. On bounded domains, we impose the boundary condition uα=0 on ∂Ω.uα=0 on ∂Ω. In the first part, we prove the convergence of strong solutions of the Leray-a equations to strong solutions of the Euler equations in Hs(Rd),s>d/2+1Hs(Rd),s>d/2+1, for a large class of regularising kernels. In the second part, we conslder weak solutions on a bounded domain with a local scaling property far away from the boundary. The scaling relates to second-order structure functions from turbulence theory and does not imply regularity. Nonetbeless, under these assumptions, the weak solutions converge to (possibly wild) weak solutions of Euler in L2L2 for a.e. tt. ----------- Luigi Forcella, Associate Professor University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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Annuncio seminario di Analisi 21 gennaio: Horta
by Ilaria Lucardesi 13 Jan '26

13 Jan '26

Care tutte, cari tutti, la prossima settimana, nell’ambito del ciclo Seminari di Analisi, avremo il piacere di ospitare Raul Fernandes Horta – Universidade Federal de Minas Gerais (Brasile), che terrà un seminario<https://www.dm.unipi.it/en/seminar/?id=6916db5041e01ecbf88bc0ce> <https://www.dm.unipi.it/en/seminar/?id=6916db5041e01ecbf88bc0ce> dal titolo “Poincaré constants, fundamental frequencies and the isoanisotropic problem”. Il seminario si terrà mercoledì 21 gennaio alle ore 16, in Aula Magna. Trovate l’abstract qui sotto. A presto, Ilaria ----------------------------------- Dear all, next week, as part of the Analysis Seminar Series, we will have the pleasure of hosting Raul Fernandes Horta – Universidade Federal de Minas Gerais (Brazil), who will give a seminar<https://www.dm.unipi.it/en/seminar/?id=6916db5041e01ecbf88bc0ce> <https://www.dm.unipi.it/en/seminar/?id=6916db5041e01ecbf88bc0ce> entitled “Poincaré constants, fundamental frequencies and the isoanisotropic problem”. The seminar will take place on Wednesday, January 21 at 4 pm, in the Aula Magna. You will find the abstract below. See you soon, Ilaria ----------------------------------- Speaker: Raul Fernandes Horta - Universidade Federal de Minas Gerais (Brazil) Title: Poincaré constants, fundamental frequencies and the isoanisotropic problem Abstract: The first Dirichlet eigenvalue of the anisotropic p-laplacian (sometimes called fundamental frequency) has been vastly studied especially due to its variational characterization, which connects it to the Poincaré inequality. In this talk we study Poincaré constants that are defined using the characterization previously mentioned, however, unlike in the classical setting where the energy is given by a norm, here we allow it to be given by seminorms. This opens the question to when these constants are fundamental frequencies (eigenvalues of the Euler-Lagrange equation) of their corresponding operators. Finally, we talk about the isoanisotropic problem, which is an optimization problem that consists of finding seminorms that either maximize or minimize the Poincaré constants. This can be seen as a counterpart of the celebrated isoperimetric Faber-Krahn inequality, which states that the domain that minimizes the fundamental frequency is the ball.

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Several seminars this week!
by Alessandra Pluda 14 Dec '25

14 Dec '25

Dear all, We are pleased to announce a week dedicated to geometric analysis seminars. Please note a new appointment of the joint UNIPI-SNS Geometric Analysis Seminar will be held on Tuesday, December 16, Scuola Normale Superiore, Aula Bianchi Scienze, 11:30 Marta Lewicka (University of Pittsburgh) Title: Flexibility of the isometric immersion system and the Monge-Ampere system for metrics with low Hölder regularity Abstract: https://cvgmt.sns.it/seminar/968/ On Wednesday we have the (already announced) seminario della classe di Scienze by Simone Verzellesi in Scuola normale (Aula Fermi, 14:30). A small Geometric Analysis workshop kicks off tomorrow! The program includes the following seminars : Monday, December 15 10:00 - Aula Riunioni Stefano Borghini (Università di Napoli Federico II) Title: "On the mass of initial data with positive cosmological constant" Abstract: https://www.dm.unipi.it/en/seminar/?id=693eff5e2ac7f6b23977b122 14:30 – Aula Riunioni Ariadna León Quirós (Universität Tübingen) Title: "Vector field approach to proving the Riemannian Positive Mass Theorem" Abstract: https://www.dm.unipi.it/en/seminar/?id=693efe802ac7f6b23977b033 Tuesday, December 16 10:00 - Aula Riunioni Ivan Yuri Violo (Università di Pisa) Title: "Regularity of quasilinear elliptic equations in metric spaces via Galerkin method" Abstract: https://www.dm.unipi.it/en/seminar/?id=693f01ed2ac7f6b23977b335 14:30 – Aula Riunioni Giorgio Gatti (Università di Padova) Title: "The Inverse Mean Curvature Flow in C0 Riemannian Manifolds" Abstract: https://www.dm.unipi.it/en/seminar/?id=693efee62ac7f6b23977b0a8 The program is further complemented by three discussion sessions, led by the following: Wednesday, December 17 – 10:00 - Aula Riunioni Mattia Fogagnolo (Università di Padova) "Detecting scalar curvature bounds" Thursday, December 18 – 10:00 (Aula Riunioni) Marco Pozzetta (Politecnico di Milano) "On geometric applications of prescribed mean curvature problems" Thursday, December 18 – 14:30 (Aula Riunioni) Alessandra Pluda "Minimal and Evolving Networks" Best, Alessandra

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seminar 17 December 2025
by Alessandra Pluda 12 Dec '25

12 Dec '25

Dear all, We are pleased to announce a seminar in Scuola Normale Superiore: SEMINARI DELLA CLASSE DI SCIENZE Simone Verzellesi Università di Padova Variational properties of the total inverse mean curvature in the plane under boundary constraints Abstract: In the Euclidean space, Aleksandrov's theorem asserts that smooth, closed, constant mean curvature hypersurfaces are round spheres. An effective proof of this result is provided by the characterization of the equality case in the so-called HeintzeKarcher inequality, which is the relevant geometric inequality associated with the minimization of the total inverse mean curvature under a volume constraint. We show that the symmetry between Aleksandrov's theorem and the HeintzeKarcher inequality breaks down when boundary conditions are imposed. Precisely, we deal with the variational behavior of the total inverse mean curvature for smooth curves in the halfplane, prescribing both the enclosed volume and a boundary condition. We characterize the existence of equilibrium configurations, and we discuss various notions of stability. As an application, we establish a local minimization property. This talk is based on a joint work with J. Pozuelo and G. Vianello. 17 dicembre 2025 ore 14:30 (Aula Fermi)

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seminar tomorrow Wednesday 10th December
by Alessandra Pluda 09 Dec '25

09 Dec '25

Dear all, We are pleased to announce another appointment of the SNS-UNIPI Geometric Analysis seminar. Tomorrow, Wednesay, December 10nd, 2025, at 12.15 am in Aula Mancini (SNS) we will have the pleasure of listening to Raquel Perales (Universität Wien). Title: Lipschitz maps from integral current spaces into Euclidean space Abstract at the following link: https://www.dm.unipi.it/en/seminar/?id=6932a96d38884977206b9392

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Workshop "Calculus of Variations and Free Boundary Problems: the VAREG edition"
by Giulia Bevilacqua 04 Dec '25

04 Dec '25

Care tutte, cari tutti, segnaliamo da parte degli organizzatori Giulia Bevilacqua, Filippo Paiano e Bozhidar Velichkov, l’evento "Calculus of Variations and Free Boundary Problems: the VAREG edition”. Il workshop si terrà martedì 9 dicembre con inizio alle 9.30, presso l'Aula Seminari Est del Dipartimento di Informatica (secondo piano). Entrando dall’ingresso del Dipartimento di Informatica (che sarà segnalato con un cartello indicante il convegno), seguendo le scale sulla destra, l’aula si trova al secondo piano (ci saranno dei cartelli per indicare la direzione dell’aula). Per info: http://www.velichkov.it/workshop-CVFBP-special.html. Segnaliamo inoltre che nella mattinata di mercoledì 10 dicembre, sempre nella stessa aula (a partire dalle 10:00), si terranno due seminari tenuti da Idriss Mazari-Fouquer (Université Paris-Dauphine) e Giacomo Colombo (ETH Zurich). Titoli e abstracts dei seminari si trovano in calce alla mail. A presto, Giulia Bevilacqua a nome degli organizzatori ________________________________ Dear all, on behalf of the organizers Giulia Bevilacqua, Filippo Paiano, and Bozhidar Velichkov, we announce the event "Calculus of Variations and Free Boundary Problems: the VAREG edition". The workshop will take place on Tuesday, December 9th starting at 9:30, in the Aula Seminari Est of the Department of Informatics (second floor). Directions: Entering through the main entrance of the Department of Informatics (which will be marked with a sign for the workshop), take the stairs on the right. The room is located on the second floor (there will be signs indicating the direction to the room). For info: http://www.velichkov.it/workshop-CVFBP-special.html. We also inform you that on the morning of Wednesday, December 10th, in the same room (starting at 10:00), two seminars will be held by Idriss Mazari-Fouquer (Université Paris-Dauphine) and Giacomo Colombo (ETH Zurich). Please find the titles and abstracts below. See you soon, Giulia Bevilacqua on behalf of the organizers ——————————————— Giacomo Colombo (ETH Zurich) Title: Generic regularity in obstacle-type problems. Abstract: I will talk about results in generic regularity in obstacle-type free boundary problems. I will explain the core ideas of their proofs focusing on generic regularity for the Stefan problem in 4+1 dimensions, and an application of these generic regularity results to β-models. Idriss Mazari-Fouquer (Université Paris-Dauphine) Title: Quantitative inequalities in optimal control theory and convergence of thresholding schemes Abstract: We will give an overview of recent progress in the study of quantitative inequalities for optimal control problems. In particular, we will show how they can be used to obtain convergence results for thresholding schemes, which are of great importance in the simulation of optimal control problems. This is a joint work with A. Chambolle and Y. Privat.

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Mario Santilli - 26 November 11.30am - Sala Stemmi
by Alessandra Pluda 24 Nov '25

24 Nov '25

Dear all, We are pleased to announce the second appointment of the SNS-UNIPI Geometric Analysis seminar. On Wednesday, November 26nd, 2025, at 11.30 am in Sala Stemmi (SNS) we will have the pleasure of listening to MARIO SANTILLI (Università dell'Aquila). Title: Rectifiability and regularity for codimension-one varifolds of bounded anisotropic mean curvature Abstract at the following link: https://www.dm.unipi.it/en/seminar/?id=69241e36e961bdf24e1c7724 There will be a seminar by Martina Bellettini in the same room at 10.00 am. --------------------------------------------------------------------------------------------------------- Best, Alessandra and Andrea

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Annuncio Convegno giovedì 27 novembre
by Luigi Forcella 21 Nov '25

21 Nov '25

Care tutte, cari tutti, Con la presente si annuncia il seguente convegno<https://cvgmt.sns.it/event/1067/>: "Un incontro di analisi e logica” che si terrà il pomeriggio di giovedì 27 novembre 2025 presso l'Aula magna del Dipartimento di Matematica, per l'occasione del pensionamento di VMT. Trovate il programma qui sotto. A presto, Luigi —— Dear all, We announce the following Analysis workshop<https://cvgmt.sns.it/event/1067/>: "Un incontro di analisi e logica”, during the afternoon of Thursday 27 Novembre 2025, in the Aula Magna of the Department of Mathematic, on the occasion of the retirement of VMT. Please find the program below. Best regards, Luigi —— PROGRAM: 15:15 - F. Honsell: Tba 15:30 - L. Ambrosio: Flussi lagrangiani regolari per campi con divergenza misura 16:10 - F. Flandoli: Correnti aleatorie 17:20 - A. Braides: Rappresentazione integrale (o sua mancanza) per funzionali dipendenti da integrali doppi 18:00 - M. Forti: Tba ----------- Luigi Forcella, Associate Professor University of Pisa Department of Mathematics Largo Bruno Pontecorvo 5 57127 Pisa, Italy https://pagine.dm.unipi.it/forcella/index.html

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Doppio seminario giovedì 13 novembre, dalle 17 alle 18.30
by Marco Ghimenti 12 Nov '25

12 Nov '25

Salve a tutti, vorrei ricordarvi domani un doppio seminario; alle 17.00 in aula seminari, Eleonora Cinti presenterà "An improved quantitative fractional isoperimetric inequality" alle 17.45, stessa aula, Matteo Talluri presenterà "On a fractional Lin–Ni-Takagi type problem with Neumann boundary conditions" Di seguito gli abstract Siete tutti invitati a partecipare A presto e grazie per l'attenzione Marco An improved quantitative fractional isoperimetric inequality We present an improved version of the quantitative fractional isoperimetric inequality, in which a stronger notion of asymmetry appears. In particular, we show that the square root of the isoperimetric deficit controls, not only the Fraenkel asymmetry, but also a sort of "oscillation of the boundary". In the classical local setting the analogue result was obtained by Fusco and Julin. This is a joint project with E. M. Merlino and B. Ruffini. On a fractional Lin–Ni-Takagi type problem with Neumann boundary conditions We explore a fractional version of a semilinear Neumann problem, introduced by Lin–Ni and Takagi in the ’80s, that arises from the steady states of the Keller–Segel model with non–local diffusion. We study the system under two different “non–local Neumann conditions”: spectral and integral. While spectral conditions admit a Caffarelli-Silvestre type extension theorem, integral conditions do not. This absence makes it more difficult to obtain Liouville–type theorems and to show the non existence of non–trivial positive solutions. Based on a joint project with Eleonora Cinti.

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seminario Cherkashin mercoledì ore 15
by Emanuele Paolini 20 Oct '25

20 Oct '25

Cari tutti, vi comunico che mercoledì (dopodomani) ore 17 in sala riunioni ci sarà il seminario di Danila Cherkashin (Bulgarian Academy of Sciences) dal titolo: "Steiner & Gilbert-Steiner Problems". Ovviamente siete tutti invitati a partecipare. E. (per chi aveva visto l'annuncio sul sito del dipartimento ho spostato l'orario dalle 15 alle 17 per via del consiglio di dipartimento).

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Geometric Analysis seminar: NICOLA GIGLI, 22 ottobre
by Alessandra Pluda 19 Oct '25

19 Oct '25

Dear all, We are pleased to announce a SNS-UNIPI Geometric Analysis seminar. On Wednesday, October 22nd, 2025, at 2 pm in the Sala Conferenze at PUTEANO, we will have the pleasure of listening to NICOLA GIGLI (SISSA), who will hold a double seminar: the first hour will be more basic and accessible to everyone, and the second hour will be more specialized. Title: Trading linearity for ellipticity - a novel approach to global Lorentzian geometry Abstract: The concepts of Sobolev functions, elliptic operators and Banach spaces are central in modern geometric analysis. In the setting of Lorentzian geometry, however, unless one restricts the attention to Cauchy hypersurfaces these do not have a clear analogue, due to the signature of the metric tensor. Aim of the talk is to discuss some recent observations in this direction centered around the fact that for $p<1$ the $p$-D’Alambertian is elliptic on the space of time functions. The talk is mostly based on joint project with Beran, Braun, Calisti, McCann, Ohanyan, Rott, Saemann. In the second part of the talk I will dig down into the concept of `hyperbolic Banach space’, extracted from an upcoming work of mine. --------------------------------------------------------------------------------------------------------- Best, Alessandra

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