October 2022 - Geometria_Pisa - Mailing list — Dipartimento di Matematica, UniPI

Seminario 27/10/2021
by Tamas Szamuely 25 Nov '22

25 Nov '22

Cari tutti, ecco il programma del prossimo seminario di geometria algebrica e aritmetica di Pisa: Mercoledì 27 ottobre 2021, Dipartimento di matematica, Aula Magna 15:00--16:00 Valerio Melani (Pisa): The Poisson structure on the affine Grassmannian via derived algebraic geometry Motivated by a conjecture of Kapranov-Ginzburg-Vasserot, we will explain how to reinterpret the classical Poisson structure on the affine Grassmannian using tools from derived symplectic (and Poisson) geometry. Our approach is based on the study of symplectic structures on derived stacks whose cotangent complex is not perfect, and therefore uses in a crucial way the formalism of Tate modules. The talk is based on joint work with Mauro Porta and Pavel Safronov. Homepage del seminario: http://pagine.dm.unipi.it/tamas/saga.html Migliori saluti, Tamás Szamuely

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Seminario topologia mercoledì
by Bruno Martelli 31 Oct '22

31 Oct '22

Buondì, Scusandomi per lo scarsissimo preavviso, annuncio un seminario di geometria e topologia per mercoledì (dopodomani). Siete tutti invitati, Bruno ----- Orario e luogo: 2 Novembre 2022, 16:00 - 17:00, Aula Seminari Speaker: Francesco Costantino (Toulouse) Title: Stated skein algebras Abstract: In this talk I will recall the notion of skein algebra and skein module of surfaces and of three-manifolds and I will introduce the recent idea of stated skein algebra and module. After discussing the interest of these objects with respect to the « standard » ones, I will discuss some key examples and some applications. Most of the material I will present is joint work with Thang Le.

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Double conference: June 2023 in Pisa
by Enrico Le Donne 31 Oct '22

31 Oct '22

Dear colleagues, We cordially invite you to attend a double event held at the De Giorgi Center of the SNS Pisa in June 2023. a) workshop "subRiemannian geometry and beyond, III" from 19th - 23rd June, 2023. https://sites.google.com/view/srgb3pisa2023 b) conference "Geometry and analysis of groups and manifolds" from 26th - 30th June, 2023. https://sites.google.com/view/geometryandanalysis/ The first meeting is the 3rd organized within the ERC project GeoMeG (Geometry of Metric Groups). The general plan is to bring together international researchers working in various areas of mathematics with connections to sub-Riemannian geometry or, more generally, metric geometry. The idea for this meeting is to focus on the large-scale geometry of nilpotent groups, Heintze groups and their boundaries, and the geometry of solvable groups or, more generally, the large-scale geometry of Lie groups. There will be introductory courses in the first two days, and conference talks for the next 3 days. The second conference will bring together world-leading experts on Geometric Analysis, Analysis on Metric Spaces, and Geometric Group Theory. These fields have seen rapid progress in recent years, both individually and in interaction, solving major open questions and opening up exciting new avenues of inquiry. Informally, the conference will also celebrate the contributions of Bruce Kleiner to these areas. Further information about registration and potential funding for junior participants will be available on the webpages. On behalf of the organizers. -- Enrico Le Donne

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Fwd: Postdoc positions at IHES
by Bruno Martelli 31 Oct '22

31 Oct '22

Inizio messaggio inoltrato: *Da: *Fanny Kassel <kassel(a)ihes.fr> *Oggetto: **Postdoc positions at IHES* *Data: *28 ottobre 2022, 11:18:06 CEST *A: *Fanny Kassel <kassel(a)ihes.fr> Dear colleagues, I hope this email finds you well. I would like to advertize that this year we are hiring five postdocs in mathematics at IHES: https://www.ihes.fr/en/applications/#post-docs Excellent candidates working on groups, geometry, and dynamics are strongly encouraged to apply. Particular attention will be paid to candidates who already have some experience working on one of the following topics: discrete subgroups of Lie groups, Teichmüller or higher Teichmüller theory, dynamics on character varieties, geometric structures on manifolds (hyperbolic geometry, convex projective geometry, Lorentzian or more generally pseudo-Riemannian geometry, etc.). The application deadline is 29 November 2022. Please feel free to pass on the information to anyone who might be interested. Best regards, Fanny Kassel

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[Indico] Miroslav Rapcak, Coherent Sheaves, Quivers and Affine-Yangian Representations, 03/11/2022, 16:00 Europe/Rome
by francesco.sala＠unipi.it 28 Oct '22

28 Oct '22

Title: Coherent Sheaves, Quivers and Affine-Yangian Representations, Speaker(s): Miroslav Rapcak, CERN, Date and time: 3 Nov 2022, 16:00 (Europe/Rome), Lecture series: Seminar on Combinatorics, Lie Theory, and Topology, Venue: Department of Mathematics (Aula Seminari`). You can access the full event here: https://events.dm.unipi.it/e/124 Abstract -------- According to the famous result of Schiffmann and Vasserot, the cohomology of the ADHM moduli space carries the structure of an affine-Yangian module. For the purpose of our talk, it is useful to view this moduli space from a three-dimensional perspective of the derived category of coherent sheaves on $\mathbb{C}^3$. More concretely, one can interpret the ADHM moduli space as parametrizing extensions of a coherent sheaf on $\mathbb{C^2}\subset \mathbb{C}^3$ by skyscraper sheaves. It is then natural to ask whether exchanging such a "framing" non-compact sheaf by a different one leads to other representations of the algebra. In this talk, I am going to give an overview of some of the developments in this direction and comment on various predictions originating from physics. -- Indico :: Email Notifier https://events.dm.unipi.it/e/124

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[Indico] Vijaylaxmi Trivedi, Hilbert-Kunz density function and its applications to some Hilbert-Kunz multiplicity conjectures, 26/10/2022, 16:30 Europe/Rome
by francesco.sala＠unipi.it 24 Oct '22

24 Oct '22

Title: Hilbert-Kunz density function and its applications to some Hilbert-Kunz multiplicity conjectures, Speaker(s): Vijaylaxmi Trivedi, Tata Institute of Fundamental Research, India, Date and time: 26 Oct 2022, 16:30 (Europe/Rome), Lecture series: Algebraic and Arithmetic Geometry Seminar, Venue: Scuola Normale Superiore, Pisa (Aula Mancini). You can access the full event here: https://events.dm.unipi.it/e/106 Abstract -------- In this talk we introduce a compactly supported and real valued continuous function called Hilbert-Kunz (HK) density function. We briefly describe its properties and its applications to study characteristic p-invariants like HK multiplicity and F -thresholds.Further we discuss in more detail some long standing conjectures of Watanabe-Yoshida and Yoshida on the HK multiplicities of quadric hypersurfaces.Here, using the classification of ACM bundles on the smooth quadric via matrix factorizations, we describe the HK density functions of the quadrics. The structure of the function explains the difficulties in nailing down the computations of HK multiplicities of even such simple class of rings.As a corollary we prove a part of the Watanabe-Yoshida conjecture for all dimensions. Moreover, for large p, we give a closed formula for HK multiplicities of quadrics hypersurfaces and a proof of Yoshida’s conjecture. -- Indico :: Email Notifier https://events.dm.unipi.it/e/106

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[Indico] Vasudevan Srinivas, On finite presentation for the tame fundamental group, 26/10/2022, 15:00 Europe/Rome
by francesco.sala＠unipi.it 24 Oct '22

24 Oct '22

Title: On finite presentation for the tame fundamental group, Speaker(s): Vasudevan Srinivas, Tata Institute of Fundamental Research, India, Date and time: 26 Oct 2022, 15:00 (Europe/Rome), Lecture series: Algebraic and Arithmetic Geometry Seminar, Venue: Scuola Normale Superiore, Pisa (Aula Mancini). You can access the full event here: https://events.dm.unipi.it/e/105 Abstract -------- This is a report on joint work with H. Esnault and M. Schusterman.Recall that the étale fundamental group of a variety over an algebraically closed field of characteristic 0 is known to be a finitely presented profinite group; this is proved by first reducing to varieties over the complex numbers, and then comparing with the topological fundamental group. In positive characteristics, even if we restrict to smooth varieties, finite generation fails in general for étale fundamental groups of non-proper varieties (eg, for the affine line).For a smooth variety with a smooth, projective compactification with an SNC boundary divisor, we show that the tame fundamental group is a finitely presented profinite group. In particular, this holds for the étale fundamental groups of smooth projective varieties. -- Indico :: Email Notifier https://events.dm.unipi.it/e/105

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[Indico] Andrea Ricolfi, TBA, 23/11/2022, 15:00 Europe/Rome
by francesco.sala＠unipi.it 21 Oct '22

21 Oct '22

Title: TBA, Speaker(s): Andrea Ricolfi, SISSA, Trieste, Date and time: 23 Nov 2022, 15:00 (Europe/Rome), Lecture series: Algebraic and Arithmetic Geometry Seminar, Venue: Department of Mathematics (Aula Magna). You can access the full event here: https://events.dm.unipi.it/e/116 -- Indico :: Email Notifier https://events.dm.unipi.it/e/116

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[Indico] Michael Wemyss, Hyperplane arrangements, monodromy via deformation theory, and stability conditions, 20/10/2022, 16:00 Europe/Rome
by francesco.sala＠unipi.it 19 Oct '22

19 Oct '22

Title: Hyperplane arrangements, monodromy via deformation theory, and stability conditions, Speaker(s): Michael Wemyss, University of Glasgow, Date and time: 20 Oct 2022, 16:00 (Europe/Rome), Lecture series: Seminar on Combinatorics, Lie Theory, and Topology, Venue: Department of Mathematics (Aula Magna). You can access the full event here: https://events.dm.unipi.it/e/31 Abstract -------- The infinite hyperplane arrangements associated to affine Dynkin diagrams (and their associated braid groups) are fundamental throughout mathematics. I will explain a variation on this, which allows us to produce many more arrangements. Whilst these new arrangements need not be Coxeter, they are still "labelled" by Coxeter data. The motivation comes from algebraic geometry. In that setting, monodromy around these hyperplanes corresponds to certain symmetries, which are realised using (noncommutative) deformation theory of curves. The hyperplanes turn out to control the Bridgeland stability manifold, and this in turn relates to open questions around the $K(\pi,1)$-conjecture. This is summary of joint work with Donovan, Iyama, and Hirano. -- Indico :: Email Notifier https://events.dm.unipi.it/e/31

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[Indico] Ádám Gyenge, The Heisenberg category of a category, 19/10/2022, 15:00 Europe/Rome
by francesco.sala＠unipi.it 17 Oct '22

17 Oct '22

Title: The Heisenberg category of a category, Speaker(s): Ádám Gyenge, Alfréd Rényi Institute of Mathematics, Date and time: 19 Oct 2022, 15:00 (Europe/Rome), Lecture series: Algebraic and Arithmetic Geometry Seminar, Venue: Department of Mathematics (Aula Magna). You can access the full event here: https://events.dm.unipi.it/e/111 Abstract -------- The Heisenberg algebra associated with a lattice is a much-investigated object originating in quantum theory. Khovanov introducedrecently a categorification of the infinite Heisenberg algebraassociated with the free boson or, equivalently, a rank 1 lattice,using a graphical construction involving planar diagrams. We extendKhovanov’s graphical construction to derived categories of smooth andprojective varieties or, more generally, to categories having a Serrefunctor. In our case, the underlying lattice will be the (numerical)Grothendieck group of the category. We also obtain a 2-representationof our Heisenberg category on a categorical analogue of the Fockspace. Joint work with Clemens Koppensteiner and Timothy Logvinenko. -- Indico :: Email Notifier https://events.dm.unipi.it/e/111

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