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

Annuncio due seminari di Analisi - Merlo & Borken
by Luigi Forcella 19 Sep '26

19 Sep '26

Care tutte, cari tutti, Con la presente si annunciano i seguenti seminari di Analisi: Mercoledì 23 settembre 2026, alle 17:00, in Aula Magna, avremo il piacere di ascoltare Andrea Merlo (Universidad del País Vasco), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=6aa90451d052f347a9f014c6> dal titolo “Lipschitz functions and the geometry of rough sets". Giovedì 24 settembre 2026, alle 16:00, in Aula Riunioni, avremo il piacere di ascoltare Malte Borken (Max Planck Institute for Mathematics in the Sciences) che terrà un seminario<https://www.dm.unipi.it/seminario/?id=6aa5709bd052f347a9f01446> dal titolo “A characterization of submanifolds of mxn matrices satisfying optimal rigidity estimates". Trovate gli abstract qui sotto. A presto, Luigi. ————————————————— Dear all, We announce the following two Analysis seminars: on Wednesday, 23 sept. 2026, 5pm, in Aula Magna, we will have the pleasure of listening to Andrea Merlo (Universidad del País Vasco); the title of the talk<https://www.dm.unipi.it/seminario/?id=6aa90451d052f347a9f014c6> is “Lipschitz functions and the geometry of rough sets”. on Thursday, 24 sept. 2026, 4pm, in Aula Riunioni, we will have the pleasure of listening to Malte Borken (Max Planck Institute for Mathematics in the Sciences); the title of the talk<https://www.dm.unipi.it/seminario/?id=6aa5709bd052f347a9f01446> is “A characterization of submanifolds of mxn matrices satisfying optimal rigidity estimates”. Please find the abstracts below. Best regards, Luigi ————————— Speaker: Andrea Merlo Title: Lipschitz functions and the geometry of rough sets Abstract: Rademacher’s theorem tells us that Lipschitz functions on Euclidean space admit linear approximations at almost every point. Can the approximation properties of Lipschitz functions also tell us whether a set has a regular geometric structure? For sets whose measure is comparable to a fixed power of the radius, David and Semmes proposed the following principle: if every Lipschitz function can be well approximated by affine functions, with quantitative control of the locations and scales where approximation fails, then the set must be uniformly rectifiable. This means that every ball contains a substantial portion of the set that admits a Lipschitz parametrization, with uniform bounds. This is the WALA conjecture. In this talk, I present a proof of the conjecture and explain the geometric ideas connecting curves, differentiability and affine approximation. I also briefly discuss applications to elliptic partial differential equations, arising from joint work with Mihalis Mourgoglou, where estimates for solutions reveal geometric properties of the boundary. Speaker: Malte Borken Title: A characterization of submanifolds of mxn matrices satisfying optimal rigidity estimates Abstract: By a theorem of Friesecke, James and Müller from 2002, the set of rotations SO(n) satisfies the following rigidity estimate: If u is an H^1-vector field defined on some bounded Lipschitz domain, then the L^2-distance of Du to a single rotation can be controlled by the L^2-norm of the distance of Du to SO(n). We are interested in the following question: Exactly which structural properties of the set SO(n) enable it to satisfy the aforementioned rigidity estimate? I will discuss a new approach to the problem, which allows one to find necessary and sufficient conditions for a general compact C^1-submanifold of mxn matrices to satisfy such a rigidity estimate. Furthermore, this approach allows one to show that the estimate is stable under small graphical perturbations of the submanifold. This talk is based on my master's thesis, written under the supervision of Konstantinos Zemas and Sergio Conti. ----------- 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 17 sett. 2026, speaker L.E. Hientzsch (KIT)
by Luigi Forcella 11 Sep '26

11 Sep '26

Care tutte, cari tutti, Con la presente si annuncia il seguente seminario di Analisi: Giovedì 17 settembre 2026, alle 16:00, in Aula Seminari, avremo il piacere di ascoltare Lars Eric Hientzsch (Karlsruher Institut für Technologie), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=6a96bc0ed609e127602c55c6> dal titolo “On leapfrogging vortex rings for the Euler equations”. Trovate l'abstract qui sotto. A presto, Luigi. ————————————————— Dear all, We announce the following Analysis seminar: on Thursday, 17 sept. 2026, 4pm, in Aula Seminari, we will have the pleasure of listening to Lars Eric Hientzsch (Karlsruher Institut für Technologie). The title of the talk<https://www.dm.unipi.it/seminario/?id=6a96bc0ed609e127602c55c6> is “On leapfrogging vortex rings for the Euler equations”. Please find the abstract below. Best regards, Luigi ----------------------------------- Speaker: Lars Eric Hientzsch (Karlsruher Institut für Technologie) Title: On leapfrogging vortex rings for the Euler equations Abstract: In 1858, Helmholtz conjectured that coaxial vortex rings in 3D inviscid fluids can exhibit the "leapfrogging" dynamics, where rings repeatedly pass through one another. While well-documented experimentally, this phenomenon involves singular interactions that are difficult to capture analytically. In this talk, we present a rigorous justification of these dynamics for the 3D incompressible Euler equations. We consider a general class of initial data corresponding to N sharply concentrated coaxial vortex rings and prove that the leapfrogging motion persists on a logarithmic time scale. The core of the analysis requires new estimates to propagate the concentration of vorticity despite the singular mutual interactions required for the phenomenon to occur. Joint work with M. Donati, C. Lacave, and E. Miot. ----------- 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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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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