Analysis-seminar March 2025

analysis-seminar@lists.dm.unipi.it

3 participants
4 discussions

Seminario fisica matematica 21 marzo
by Luigi Forcella 18 Mar '25

18 Mar '25

Care tutte, cari tutti, Segnaliamo il seguente seminario nell’ambito delle attività del gruppo di Fisica Matematica, che si terrà Venerdì 21 Marzo, ore 14:30, in aula seminari: Speaker: Joachim Kerner (University of Hagen) Titolo: Atypical spectral and transport properties of non-locally finite crystals (and maybe more). Trovate l’abstract qui sotto. Cordiali saluti, Luigi e Ilaria. ———— Dear all, We announce the following Mathematical Physics seminar on Friday 21, 2:30 pm, in Aula Seminari: Speaker: Joachim Kerner (University of Hagen) Title: Atypical spectral and transport properties of non-locally finite crystals (and maybe more). Please find the abstract below. Best regards, Luigi and Ilaria ——— Speaker: Joachim Kerner (University of Hagen) Title: Atypical spectral and transport properties of non-locally finite crystals (and maybe more). Abstract: In the first part of the talk we discuss recent results on Schrödinger operators on periodic graphs which are non-standard in the sense that we allow vertices to have an infinite number of neighbours. It turns out that such non-locally finite graphs exhibit various phenomena which are absent in the locally finite setting: and this is true from a spectral as well as transport point of view. Using some explicit examples, we shall illustrate such new effects in more detail. Quite surprisingly, it turns out that one of the examples provides us with a negative answer to a question raised by Damanik et al. in a recent paper on ballistic transport (this part of talk is based on joint work with O. Post, M. Sabri, and M. Täufer). If time allows, we shall also quickly discuss spectral comparison results on discrete graphs. In recent years, various authors have derived such comparison results on Euclidean domains and quantum graphs. Our aim is to present a generalization to the discrete setting. Along the way, we also establish a so-called local Weyl law which is of independent interest (the second part of the talk is based on joint work with P. Bifulco and C. Rose). ----------- Luigi Forcella, Assistant Professor (RTD-B, tenure-track) 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 20 marzo
by Ilaria Lucardesi 15 Mar '25

15 Mar '25

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 20 marzo alle 17 in Aula Magna, avremo il piacere di ascoltare Roberto Ognibene (Università di Pisa), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=67ce9e1d20d73a92fb7b20f7> dal titolo "Regularity and singularities in optimal partition problems". Trovate l'abstract qui sotto. Dopo il seminario non scappate! Roberto porterà dei pasticcini per salutarci. A presto, Ilaria Lucardesi e Luigi Forcella ----------------------------------- Dear all, on Thursday March 20th at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Roberto Ognibene (Università di Pisa). The title of the talk<https://www.dm.unipi.it/seminario/?id=67ce9e1d20d73a92fb7b20f7> is "Regularity and singularities in optimal partition problems". Please find the abstract below. After the seminar, don't run away! Roberto will bring some pastries to say goodbye. See you soon, Ilaria Lucardesi and Luigi Forcella ----------------------------------- Speaker: Roberto Ognibene (Università di Pisa) Title: Regularity and singularities in optimal partition problems Abstract: In this talk, we discuss regularity properties of minimal segregated configurations, defined as vector valued functions with the property that, for each point in the domain, at most one component is non-zero, and that minimize the corresponding Dirichlet energy. We first introduce the topic, emphasizing the connections with shape optimization problems (optimal partitions) and harmonic maps with values into singular spaces. Then, we introduce the notion of free boundary, we review some known results about its regularity and geometrical structure (mainly focusing on the seminal works by Gromov-Schoen, Conti-Terracini-Verzini and Caffarelli-Lin) and we finally describe recent results obtained in collaboration with B. Velichkov.

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Reminder seminari
by Ilaria Lucardesi 12 Mar '25

12 Mar '25

Care tutte, cari tutti, vi ricordiamo i seminari di questa settimana: - oggi (mercoledì) alle 17 in Aula Seminari, Alan Chang<https://www.dm.unipi.it/en/seminar/?id=67cddfa820d73a92fb7b0f47> (Washington University in St. Louis) - domani (giovedì) alle 17 in Aula Magna, Marco Michetti<https://www.dm.unipi.it/en/seminar/?id=679b71433e96782493b4eb49> (Sapienza Università di Roma). Vi anticipiamo che la prossima settimana, giovedì 20 marzo, avremo come speaker Roberto Ognibene (Università di Pisa). Seguiranno dettagli. A presto, Ilaria Lucardesi e Luigi Forcella ------- Dear all, we remind you of the seminars of this week: - today (wednesday) at 5PM in Aula Seminari, Alan Chang<https://www.dm.unipi.it/en/seminar/?id=67cddfa820d73a92fb7b0f47> (Washington University in St. Louis) - tomorrow (thursday) at 5PM in Aula Magna, Marco Michetti<https://www.dm.unipi.it/en/seminar/?id=679b71433e96782493b4eb49> (Sapienza Università di Roma). Next week, on Thursday March 20th, the seminar will be by Roberto Ognibene (Università di Pisa). Details will follow. See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 20 febbraio
by Ilaria Lucardesi 09 Mar '25

09 Mar '25

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 20 febbraio alle 17 in Aula Magna, avremo il piacere di ascoltare Raoní Cabral Ponciano (UFABC, Brasile), che terrà un seminario<https://www.dm.unipi.it/seminario/?id=67b3633c762f5b32f7b655a2> dal titolo "Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces”. Trovate l'abstract qui sotto. Il seminario<https://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a> successivo sarà giovedì 27, con oratore Giorgio Tortone (UniPi). Seguiranno dettagli. A presto, Ilaria Lucardesi e Luigi Forcella ----------------------------------- Dear all, on Thursday February 20th at 5PM in Aula Magna, for the Mathematical Analysis Seminar, we will have the pleasure of listening to Raoní Cabral Ponciano (UFABC, Brazil). The title of the talk<https://www.dm.unipi.it/seminario/?id=67b3633c762f5b32f7b655a2> is "Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces". Please find the abstract below. The following seminar<https://www.dm.unipi.it/seminario/?id=67927b293e96782493b3d76a> will be on thursday 27th, with speaker Giorgio Tortone (UniPi). Details will follow. See you soon, Ilaria Lucardesi and Luigi Forcella ----------------------------------- Speaker: Raoní Cabral Ponciano (UFABC, Brazil) Title: Sharp Sobolev and Adams-Trudinger-Moser embeddings for symmetric functions without boundary conditions on hyperbolic spaces Abstract: Embedding theorems for symmetric functions without any boundary conditions have been studied on flat Riemannian manifolds, such as the Euclidean space. However, these theorems have only been established on hyperbolic spaces for functions with homogeneous Dirichlet conditions. In this presentation, we focus on sharp Sobolev and Adams–Trudinger–Moser embeddings for radial functions in hyperbolic spaces, considering both bounded and unbounded domains. One of the main features of our approach is that we do not assume any boundary conditions for symmetric functions on geodesic balls or the entire hyperbolic space. Our main results establish weighted Sobolev embedding theorems and present Adams-Trudinger-Moser type of embedding theorems. In particular, a key result is a highly nontrivial comparison between norms of the higher-order covariant derivatives and higher-order derivatives of the radial functions. Higher-order asymptotic behavior of radial functions on hyperbolic spaces is established to prove our main theorems. This approach includes novel radial lemmas and decay properties of higher-order radial Sobolev functions defined in hyperbolic space.

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Analysis-seminar March 2025