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

Annuncio seminario giovedì 3 ottobre
by Luigi Forcella 26 Sep '24

26 Sep '24

Care tutte, cari tutti, Siamo felici di comunicare che la prossima settimana inizierà il ciclo di Seminari di Analisi per l’anno accademico 2024-2025. Il primo evento sarà giovedì 3 ottobre alle ore 17:00, in Aula Riunioni, ed avremo il piacere di ascoltare Chiara Boccato (UniPi), che terrà un seminario<https://www.dm.unipi.it/en/seminar/?id=66ee7baaed270fad8e17dd09> dal titolo “Spectral properties of the interacting Bose gas”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda dalle ore 16:45 nella stessa aula. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, We are pleased to announce that the Analysis Seminars’ activities for the academic year 2024-2025 will start next week. The first event will take place on Thursday October 3rd at 5PM, in "Aula Riunioni", and we will have the pleasure of listening to Chiara Boccato (UniPi). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=66ee7baaed270fad8e17dd09> is “Spectral properties of the interacting Bose gas”. Please find below the abstract. The seminar will be preceded by a snack in the same room, starting at 4:45 PM. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Chiara Boccato (UniPi) Title: Spectral properties of the interacting Bose gas Abstract: The interacting Bose gas is a system composed of a very large number of quantum particles with totally symmetric wavefunction. Below a critical temperature, a phase transition to a Bose-Einstein condensate is expected to occur, and collective behavior emerges from the underlying many-body theory. While the many-body system is described by the linear Schrödinger equation, the emergent behavior is described in terms of an effective non-linear theory. In this talk I will present results justifying the effective description of the spectrum of the many-body Hamilton operator at zero temperature. I will also discuss extensions to systems at the critical point. This is based on joint works with C. Brennecke, S. Cenatiempo, A. Deuchert R. Seiringer, B. Schlein, and D. Stocker.

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Reminder seminario oggi
by Ilaria Lucardesi 27 Jun '24

27 Jun '24

Care tutte, cari tutti, vi ricordiamo il seminario di oggi: Giuseppe Maria Coclite (Politecnico di Bari<https://www.dm.unipi.it/en/seminar/?id=661cda5a282479bbfbc080af>), ore 17 in Aula Riunioni. Ricordiamo inoltre il seminario MAP<https://seminarimap.wixsite.com/seminarimap/2023-2024-1/umberto-morellini> alle 11 in Aula Seminari. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, we remind you of the seminar of today: Giuseppe Maria Coclite (Politecnico di Bari<https://www.dm.unipi.it/en/seminar/?id=661cda5a282479bbfbc080af>), at 5PM in "Aula Riunioni". We also remind you of the MAP seminar<https://seminarimap.wixsite.com/seminarimap/2023-2024-1/umberto-morellini> at 11AM in "Aula Seminari". See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 27 giugno
by Ilaria Lucardesi 21 Jun '24

21 Jun '24

Care tutte, cari tutti, per il prossimo (e ultimo!) evento del ciclo dei Seminari di Analisi, giovedì 27 giugno alle ore 17, in Aula Riunioni, avremo il piacere di ascoltare Giuseppe Maria Coclite (Politecnico di Bari) che terrà un seminario<https://www.dm.unipi.it/en/seminar/?id=661cda5a282479bbfbc080af> dal titolo "Nonlinear Peridynamic Models". Trovate l'abstract qui sotto. Segnaliamo anche il seminario MAP<https://seminarimap.wixsite.com/seminarimap/2023-2024-1/umberto-morellini> di Umberto Morellini (Université Paris Dauphine - PSL), giovedì 27 alle 11 in Aula Seminari. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, on Thursday 27th June at 5PM, in "Aula Riunioni", for the next (and last!) Mathematical Analysis Seminar, we will have the pleasure of listening to Giuseppe Maria Coclite (Politecnico di Bari). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=661cda5a282479bbfbc080af> is "Nonlinear Peridynamic Models". Please find the abstract below. We also note that on the same day, at 11AM in "Aula Seminari", within the MAP Seminars activity, there will be a seminar<https://seminarimap.wixsite.com/seminarimap/2023-2024-1/umberto-morellini> by Umberto Morellini (Université Paris Dauphine - PSL). See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Giuseppe Maria Coclite (Politecnico di Bari) Title: Nonlinear Peridynamic Models Abstract: Some materials may naturally exhibit singularity phenomena such as cracks or other manifestations as a result of scale effects and long range interactions. Peridynamic theory models such behavior introducing a new nonlocal framework for the basic equations of continuum mechanics. In this lecture we consider a nonlinear peridynamic model and discuss its qualitative properties and well-posedness in suitable fractional Sobolev spaces. Those results were obtained in collaboration with A. Coclite (Bari), N. Dimola (Milano), S. Dipierro (Perth), G. Fanizza (Casamassima), L. Lopez (Bari), F. Maddalena (Bari), S. F. Pellegrino (Bari), T. Politi (Bari), and E. Valdinoci (Perth).

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Annuncio seminario 11 giugno (attenzione: eccezionalmente di martedì)
by Ilaria Lucardesi 11 Jun '24

11 Jun '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, martedì 11 giugno alle ore 17, in Aula Riunioni, avremo il piacere di ascoltare Federica Dragoni (University of Cardiff), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=663cbf185b29178e24cd9c85> dal titolo "Semiconcavity of the square distance in Carnot groups". Trovate l'abstract qui sotto. Il seminario sarà preceduto da una merenda alle 16:45 nella stessa aula. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, on Tuesday 11th June at 5PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Federica Dragoni (University of Cardiff). The title of the talk<https://www.dm.unipi.it/en/seminar/?id=663cbf185b29178e24cd9c85> is "Semiconcavity of the square distance in Carnot groups". Please find the abstract below. The seminar will be preceded by a snack in the same room, starting at 4:45 PM. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Federica Dragoni (University of Cardiff) Title: Semiconcavity of the square distance in Carnot groups Abstract: Semiconcavity and semiconvexity are key regularity properties for functions with many applications in a broad range of mathematical subjects. The notions of semiconcavity and semiconvexity have been adapted to different geometrical contexts, in particular in sub-Riemannian structures such as Carnot groups, where they turn out to be extremely useful for the study of solutions of degenerate PDEs. In this talk I will show that, for a suitable class of Carnot groups, the Carnot-Carathéodory distance is semiconcave, in the sense of the group, in the whole space. I will also give some applications to solutions of non-coercive Hamilton-Jacobi equations. Joint work with Qing Liu and Ye Zhang from OIST (Okinawa, Japan).

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Annuncio seminario 6 giugno
by Ilaria Lucardesi 03 Jun '24

03 Jun '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 6 giugno alle ore 17, in Aula Seminari, avremo il piacere di ascoltare Stefano Spirito (Università degli Studi dell'Aquila), che terrà un seminario <https://www.dm.unipi.it/seminario/?id=66574a1c06f87efa3c1d31d5> <https://www.dm.unipi.it/en/seminar/?id=65bcfb381d2cb321d7db11dd> dal titolo "Finite dimensional approximation of solutions of the 2D incompressible Euler equations". Trovate l'abstract qui sotto. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, on Thursday 6th May at 5PM, in "Aula Seminari", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Stefano Spirito (Università degli Studi dell'Aquila). The title of the talk<https://www.dm.unipi.it/seminario/?id=66574a1c06f87efa3c1d31d5> is "Finite dimensional approximation of solutions of the 2D incompressible Euler equations". Please find the abstract below. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Stefano Spirito (Università degli Studi dell'Aquila) Title: Finite dimensional approximation of solutions of the 2D incompressible Euler equations Abstract: In this talk we consider the approximation of solutions to the 2D Euler equations via a finite dimensional Galerkin methods. In particular, we will focus on the convergence in strong norms of the velocity and the vorticity. We will study the convergence in different regularity settings, including the Yudovich class of weak solutions with bounded vorticity and we provide precise rates of convergence. We compare the results with the analogous ones available for the vanishing viscosity approximation and comment on differences and similarities. The talk is based on joint works with L.C. Berselli (University of Pisa), G. Crippa (University of Basel), and G. Ciampa (University of L'Aquila).

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Reminder seminario domani - 30 maggio
by Luigi Forcella 29 May '24

29 May '24

Care tutte, cari tutti, vi ricordiamo il seminario di domani: Yoshihiro Shibata (Waseda University)<https://www.dm.unipi.it/en/seminar/?id=65bcfb381d2cb321d7db11dd> alle ore 16:30, in Aula Seminari. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, we remind you of the seminar of tomorrow: Yoshihiro Shibata (Waseda University)<https://www.dm.unipi.it/en/seminar/?id=65bcfb381d2cb321d7db11dd> at 4:30PM, Aula Seminari. See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 30 maggio
by Ilaria Lucardesi 25 May '24

25 May '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 30 maggio alle ore 16:30, in Aula Seminari, avremo il piacere di ascoltare Yoshihiro Shibata (Waseda University), che terrà un seminario <https://www.dm.unipi.it/en/seminar/?id=65bcfb381d2cb321d7db11dd> dal titolo "L_1 maximal regularity for the free boundary problem", basato su questo <https://arxiv.org/abs/2311.04444v2> lavoro. Segnaliamo inoltre, nell'ambito dei Seminari MAP, i seminari di due dottorandi di Paris-Saclay in visita presso il nostro Dipartimento, il giorno 28 maggio: Badreddine <https://www.dm.unipi.it/en/seminar/?id=6647431f2d75e728d75a62cb> e Rouveyrol<https://www.dm.unipi.it/en/seminar/?id=664743ab2d75e728d75a6331>. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, on Thursday 30th May at 4:30PM, in "Aula Seminari", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Yoshihiro Shibata (Waseda University). The title of the talk <https://www.dm.unipi.it/en/seminar/?id=65bcfb381d2cb321d7db11dd> is "L_1 maximal regularity for the free boundary problem", see preprint <https://arxiv.org/abs/2311.04444v2> on Arxiv. We also note that on teusday May 28th, within the MAP Seminars activity, there will be seminars by two visiting PhD students from Paris-Saclay: Badreddine <https://www.dm.unipi.it/en/seminar/?id=6647431f2d75e728d75a62cb> and Rouveyrol<https://www.dm.unipi.it/en/seminar/?id=664743ab2d75e728d75a6331>. See you soon, Ilaria Lucardesi and Luigi Forcella

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Colloquium 23 maggio ore 17.00 - Huisken
by Alessandra Pluda 23 May '24

23 May '24

Cari tutti, facendo seguito al messaggio di Maria Stella e Matteo, ricordo a tutti e tutte che domani giovedì 23 maggio, alle 17.00 in AULA MAGNA, Gerhard Huisken (Universitat Tübingen e MFO) terrà un colloquio sul tema: “Inverse mean curvature flow and geometric inequalities”. Dopo il Colloquio sarà organizzato un aperitivo con lo speaker. Chiedo scusa per i re-invii multipli ma gli iscritti alla lista di analisi che non afferiscono al dipartimento non hanno ricevuto l'informazione. Tanti saluti, Alessandra

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Reminder seminari domani (9 maggio)
by Ilaria Lucardesi 08 May '24

08 May '24

Care tutte, cari tutti, vi ricordiamo il seminario di domani: Annalisa Massaccesi (Università di Padova),<https://www.dm.unipi.it/en/seminar/?id=662981ff25ce23c048c43fb8> alle ore 17 (+ merenda alle 16:45), in Aula Magna. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, we remind you of the seminar of tomorrow: Annalisa Massaccesi (Università di Padova),<https://www.dm.unipi.it/en/seminar/?id=662981ff25ce23c048c43fb8> at 5PM (+ snack at 4:45PM), Aula Magna. See you soon, Ilaria Lucardesi and Luigi Forcella

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Annuncio seminario 9 maggio
by Ilaria Lucardesi 03 May '24

03 May '24

Care tutte, cari tutti, per il prossimo evento del ciclo dei Seminari di Analisi, giovedì 9 maggio alle ore 17:00, in Aula Riunioni, avremo il piacere di ascoltare Annalisa Massaccesi (Università di Padova), che terrà un seminario <https://www.dm.unipi.it/seminario/?id=662981ff25ce23c048c43fb8> <https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> dal titolo “Recent developments on the Besicovitch's 1/2 problem ”. Trovate qui sotto l’abstract. Il seminario sarà preceduto da una merenda dalle ore 16:45 nella stessa aula. A presto, Ilaria Lucardesi e Luigi Forcella --------------------------------------------- Dear all, On Thursday May 9th at 5PM, in "Aula Riunioni", for the Mathematical Analysis Seminar, we will have the pleasure of listening to Annalisa Massaccesi (Università di Padova). The title of the talk <https://www.dm.unipi.it/seminario/?id=662981ff25ce23c048c43fb8> <https://www.dm.unipi.it/en/seminar/?id=65a3e6d89ddab435806cde2c> <https://www.dm.unipi.it/en/seminar/?id=6618fe5c282479bbfbbfe2a2> is “Recent developments on the Besicovitch's 1/2 problem ”. Please find below the abstract. The seminar will be preceded by a snack in the same room, starting at 4:45 PM. See you soon, Ilaria Lucardesi and Luigi Forcella --------------------------------------------- Speaker: Annalisa Massaccesi (Università di Padova) Title: Recent developments on the Besicovitch's 1/2 problem Abstract: The Besicovitch's 1/2 problem problem investigates the smallest threshold 𝜎 guaranteeing rectifiability for a set with Hausdorff 1-dimensional finite measure when the lower density of the set is larger than 𝜎 almost everywhere. Besicovitch conjectured that 𝜎 = 1/2 (hence the name of the problem) and proved 𝜎 ≤ 3/4, then Preiss and Tišer improved the bound to 𝜎≤ (2+\sqrt{46})/12 ∼ 0.73186... In a recent work in collaboration with C. De Lellis, F. Glaudo and D. Vittone, we devised a strategy to improve the bound by means of a hierarchy of variational problems and we reach a proof that 𝜎≤0.7. In this seminar, I will try to explain the fairly intuitive geometric idea behind this strategy and I will try to summarize both the computational obstacles and the intrinsic obstacles that are still in the way.

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