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

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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Annuncio seminario Analisi - giovedì 09 ottobre
by Luigi Forcella 02 Oct '25

02 Oct '25

Care tutte, cari tutti, Con la presente si annuncia il seguente seminario di Analisi: GIOVEDì 09 OTTOBRE 2025, ore 16 in AULA RIUNIONI del Dipartimento, avremo il piacere di ascoltare ALICE MARVEGGIO (U. BONN), che terrà un seminario<https://www.dm.unipi.it/en/seminar/?id=68c02f248ecc6e0c5ede7ca8> dal titolo "The Verigin problem with phase transition as gradient flow". Trovate l'abstract qui sotto. A presto, Luigi ————————————————— Dear all, We announce the following Analysis seminar: on THURSDAY 09 OCTOBER 2025, 4pm in AULA RIUNIONI of the Dept. of Math., we will have the pleasure of listening to ALICE MARVEGGIO (U. BONN). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=68c02f248ecc6e0c5ede7ca8> is "The Verigin problem with phase transition as gradient flow". Please find the abstract below. Best regards, Luigi Speaker: Alice Marveggio (Bonn) Title: The Verigin problem with phase transition as gradient flow Abstract: We study the modeling of a compressible two-phase flow in a porous medium. The governing PDE system is known as the Verigin problem with phase transition, which is the compressible analog to the Muskat problem. Our aim is to prove the convergence of an implicit time discretization scheme using the Wasserstein distance, obtaining distributional solutions in the limit that satisfy an optimal energy-dissipation rate. This talk is based on a joint work with Anna Kubin and Tim Laux.

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