- Geometria_Pisa - Mailing list — Dipartimento di Matematica, UniPI

[Indico] Lorenzo Venturello, Flag spheres and $\gamma$-positivity, 06/10/2022, 15:00 Europe/Rome
by francesco.sala＠unipi.it 30 Sep '22

30 Sep '22

Title: Flag spheres and $\gamma$-positivity, Speaker(s): Lorenzo Venturello, Università di Pisa, Date and time: 6 Oct 2022, 15:00 (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/107 Abstract -------- The $f$-vector of a simplicial complex is the vector whose entries record the number of faces in each dimension. It is typically convenient to study an integer linear transformation of the $f$-vector, called the $h$-vector, which naturally appears in the Hilbert series of an algebra associated to the simplicial complex. When we impose additional topological or combinatorial property on the complex, we observe linear relations or inequalities among the entries of the $h$-vector. For instance, when the complex triangulates a sphere, the $h$-vector is nonnegative, palindromic and unimodal. In this talk I will focus on a special family of triangulated spheres called flag and I will introduce a conjecture due to Gal which predicts precise linear inequalities which are stronger then thos ein the case of arbitrary spheres. Gal's inequalites can be conveniently encoded as statements of nonnegativity of a third integer vector, called $\gamma$-vector. I will show that a natural algebraic generalization of this conjecture does not hold (joint work with Alessio D'Alì) and comment on a reduction strategy proposed by Chudnowsky and Nevo (joint work in progress with Geva Yashfe). Finally, if time permits, I will present recent progress on a different $\gamma$-positivity problem involving triangulations of symmetric edge polytopes of a graph (joint work with Alessio D'Alì, Martina Juhnke-Kubitzke and Daniel Köhne). -- Indico :: Email Notifier https://events.dm.unipi.it/e/107

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Seminario sistemi dinamici giovedì prossimo
by Bruno Martelli 12 Sep '22

12 Sep '22

Carissimi, Inoltro avviso di seminario per giovedì prossimo, A presto, Bruno Martelli Carissimi, vi segnalo il seguente seminario che sarà tenuto da Fabrizio Bianchi (Université de Lille) in Sala Seminari giovedì 15 settembre alle ore 14:00: Holomorphic motions of Julia sets: dynamical stability in one and several complex variables Abstract: We discuss the stability of holomorphic dynamical systems under perturbation. In dimension 1, the theory is now classical and is based on works by Lyubich, Mané-Sad-Sullivan and DeMarco. I will review this theory and present a recent generalisation valid in any dimension. Since classical 1-dimensional techniques no longer apply in higher dimensions, our approach is based on ergodic and pluripotential methods. Pur essendo inserito nel ciclo di seminari di Sistemi Dinamici, penso possa essere di interesse anche per i geometri. Ciao e a presto, Marco Prorettore per la Didattica Università di Pisa ********************************************************** Marco Abate Tel: +39/050/2213.230 Dipartimento di Matematica Fax: +39/050/2210.678 Universita' di Pisa Largo Pontecorvo 5 E-mail: marco.abate(a)unipi.it <marco.abate(a)unipi.it> 56127 Pisa Italy Web: pagine.dm.unipi.it/abate/ **********************************************************

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I: Ph.D.-position at Utrecht University (possibly in symplectic geometry), deadline September 15, please forward
by Paolo Lisca 12 Jul '22

12 Jul '22

Inoltro annuncio di borsa di dottorato a Utrecht. Paolo Lisca ________________________________ Da: Ziltener, F.J. (Fabian) <F.Ziltener(a)uu.nl> Oggetto: Ph.D.-position at Utrecht University (possibly in symplectic geometry), deadline September 15, please forward Dear colleagues, At the mathematics department of Utrecht University (The Netherlands) there is a Ph.D.-position available, see the attachment. Please forward this information to master's students who are looking for a Ph.D.-position in symplectic geometry. * The deadline is September 15. Best regards, Fabian Ziltener https://es.sonicurlprotection-fra.com/click?PV=2&MSGID=20220712114944066056…

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Fwd: Announcement - Garcia-Prada's conference
by Francesco Sala 30 Jun '22

30 Jun '22

Da parte di Luis Alvarez-Consul: > === > > Subject: Conference in honour of Oscar Garcia-Prada on the occasion of his > 60th birthday > > Moduli spaces and geometric structures > Conference in honour of Oscar Garcia-Prada on the occasion of his 60th > birthday > > Dates: 12-16 September 2022 > > Venue: ICMAT, Madrid, Spain > > Website: https://www.icmat.es/congresos/2022/modOGP60/ > > This conference is a celebration of the work and 60th birthday of Oscar > Garcia-Prada. It is devoted to the theory of moduli spaces and geometric > structures, with particular emphasis on the broad area of research > interests of Professor Garcia-Prada. > > The event will take place at ICMAT (Madrid, Spain). Lectures will start on > the morning of Monday 12th of September and will end on the evening of > Friday 16th of September. > > The following speakers have confirmed their participation in the > conference: > > Jørgen Ellegaard Andersen (QM, Univ. Southern Denmark) > Olivier Biquard (Sorbonne & Univ. Paris) > Indranil Biswas (TIFR, Mumbai) > Steven Bradlow (Univ. Illinois Urbana-Champaign) > Brian Collier (Univ. California Riverside) > Andrew Dancer (Univ. Oxford) > Mario García-Fernández (ICMAT–UAM Madrid) > Peter Gothen (Univ. Porto) > Tamás Hausel (IST Austria) > Jochen Heinloth (Univ. Duisburg-Essen) > Nigel Hitchin (Univ. Oxford) > Jacques Hurtubise (McGill Univ.) > Ignasi Mundet i Riera (Univ. Barcelona) > Ngô Bảo Châu (Univ. Chicago) (TBC) > André Oliveira (Univ. Porto & UTAD) > Ana Peón-Nieto (Univ. Birmingham & Côte d'Azur) > S. Ramanan (CMI Chennai) > Dietmar Salamon (ETZ Zürich) > Mariano Santander (Univ. Valladolid) > Alexander Schmitt (FU Berlin) > Carlos Simpson (Univ. Côte d'Azur) > Richard Wentworth (Univ. Maryland) > Anna Wienhard (Univ. Heidelberg) > > More information, including registration, can be found at > https://www.icmat.es/congresos/2022/modOGP60/ > > Sponsors: > > ICMAT Severo Ochoa Programme > Ministerio de Ciencia e Innovacion (Spain) > > We hope to see you in September in Madrid. > > The organizing committee: > > Luis Alvarez-Consul (ICMAT) > Tomas L. Gomez (ICMAT)

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[Indico] Justin Sawon, Mirror symmetry for generalized Kummer varieties, 29/06/2022, 15:30 Europe/Rome
by francesco.sala＠unipi.it 28 Jun '22

28 Jun '22

Title: Mirror symmetry for generalized Kummer varieties, Speaker(s): Justin Sawon, University of North Carolina at Chapel Hill, USA, Date and time: 29 Jun 2022, 15:30 (Europe/Rome), Lecture series: Algebraic and Arithmetic Geometry Seminar, Venue: Department of Mathematics (Aula Riunioni). You can access the full event here: https://events.dm.unipi.it/e/99 Abstract -------- The generalized Kummer variety $K_n$ of an abelian surface $A$ is the fibre of the natural map $\mathsf{Hilb}^{n+1}A\to \mathsf{Sym}^{n+1}A\to A$. Debarre described a Lagrangian fibration on $K_n$ whose fibres are the kernels of $\mathsf{Jac}C\to A$, where $C$ are curves in a fixed linear system in $A$. In this talk we consider the dual of the Debarre system, constructed in a similar way to the duality between $\mathsf{SL}$- and $\mathsf{PGL}$-Hitchin systems described by Hausel and Thaddeus. We conjecture that these dual fibrations are mirror symmetric, in the sense that their (stringy) Hodge numbers are equal, and we verify this in a few cases. In fact, there is another isotrivial Lagrangian fibration on $K_n$. We can describe its dual fibration and verify the mirror symmetry relation in many more cases. -- Indico :: Email Notifier https://events.dm.unipi.it/e/99

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[Indico] Nicola Tarasca, Geometry of vertex operator algebras on moduli of curves, 29/06/2022, 14:30 Europe/Rome
by francesco.sala＠unipi.it 28 Jun '22

28 Jun '22

Title: Geometry of vertex operator algebras on moduli of curves, Speaker(s): Nicola Tarasca, Virginia Commonwealth University, Date and time: 29 Jun 2022, 14:30 (Europe/Rome), Lecture series: Algebraic and Arithmetic Geometry Seminar, Venue: Department of Mathematics (Aula Riunioni). You can access the full event here: https://events.dm.unipi.it/e/87 Abstract -------- The physically-inspired theory of conformal blocks allows one to construct vector bundles on moduli spaces of curves with remarkable geometric and combinatorial properties. This theory uses as input the representations of some non-commutative algebras. A classical example is provided by the representations of affine Lie algebras, and the resulting vector bundles have been studied at great length in the last thirty years, yielding extraordinary insights on moduli spaces of curves. In this talk, I will present how some fundamental results of the classical theory of conformal blocks extend to the more general setting provided by replacing affine Lie algebras with vertex operator algebras. Specifically, I will discuss an extended factorization property and new cohomological field theories. This is joint work with Chiara Damiolini and Angela Gibney. -- Indico :: Email Notifier https://events.dm.unipi.it/e/87

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[Indico] Justin Sawon, TBA, 29/06/2022, 15:30 Europe/Rome
by francesco.sala＠unipi.it 22 Jun '22

22 Jun '22

Title: TBA, Speaker(s): Justin Sawon, University of North Carolina at Chapel Hill, USA, Date and time: 29 Jun 2022, 15:30 (Europe/Rome), Lecture series: Algebraic and Arithmetic Geometry Seminar, Venue: Department of Mathematics (Aula Riunioni). You can access the full event here: https://events.dm.unipi.it/e/99 Abstract -------- TBA -- Indico :: Email Notifier https://events.dm.unipi.it/e/99

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[Indico] Nicola Tarasca, Geometry of vertex operator algebras on moduli of curves, 29/06/2022, 14:30 Europe/Rome
by francesco.sala＠unipi.it 22 Jun '22

22 Jun '22

Title: Geometry of vertex operator algebras on moduli of curves, Speaker(s): Nicola Tarasca, Virginia Commonwealth University, Date and time: 29 Jun 2022, 14:30 (Europe/Rome), Lecture series: Algebraic and Arithmetic Geometry Seminar, Venue: Department of Mathematics (Aula Riunioni). You can access the full event here: https://events.dm.unipi.it/e/87 Abstract -------- The physically-inspired theory of conformal blocks allows one to construct vector bundles on moduli spaces of curves with remarkable geometric and combinatorial properties. This theory uses as input the representations of some non-commutative algebras. A classical example is provided by the representations of affine Lie algebras, and the resulting vector bundles have been studied at great length in the last thirty years, yielding extraordinary insights on moduli spaces of curves. In this talk, I will present how some fundamental results of the classical theory of conformal blocks extend to the more general setting provided by replacing affine Lie algebras with vertex operator algebras. Specifically, I will discuss an extended factorization property and new cohomological field theories. This is joint work with Chiara Damiolini and Angela Gibney. -- Indico :: Email Notifier https://events.dm.unipi.it/e/87

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Edging Higher - ICMS-Sofia Inaugural Conference - July 11 – 14, 2022 - Sofia, Bulgaria
by Francesco Sala 11 Jun '22

11 Jun '22

Annuncio da parte di Peter Dalakov: --- Edging Higher - ICMS-Sofia Inaugural Conference - July 11 – 14, 2022 - Sofia, Bulgaria In luglio vi sarà il convegno inaugurale del centro ICMS-Sofia gestito da Ludmil Katzarkov a Sofia. Tra gli speakers, vi saranno: Kontsevich, Griffiths, Fukaya, etc. Maggiori informazioni sul sito https://icms.bg/edging-higher/ (Sono disponibili dei fondi per supportare i partecipanti giovani.) -- A presto, Francesco

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Seminario di Matematica - Marco Volpe (Università di Regensburg)
by Guglielmo Nocera 02 Jun '22

02 Jun '22

*Avviso seminario* Lunedì 6 giugno 2022 alle ore *14:00* in aula Tonelli (SNS) *Marco Volpe*, dell'Università di Regensburg, terrà un seminario dal titolo *Formalismo dei sei funtori e dualità di Atiyah per varietà topologiche* Abstract: In topologia il formalismo dei sei funtori, originariamente introdotto da Grothendieck nel contesto algebro-geometrico, consiste di un insieme di operazioni tra categorie derivate di fasci in gruppi abeliani, attraverso le quali è possibile dedurre le proprietà principali della coomologia singolare, tra cui la dualità di Poincaré. In questo talk spiegheremo come estendere il formalismo a fasci a valori in spettri, utilizzando il linguaggio delle ∞-categorie. Come applicazione otterremo una generalizzazione della dualità di Atiyah per sommersioni topologiche proprie, usando una costruzione fascio-teoretica dello spettro di Thom di un microfibrato. Prerequisiti: Categorie triangolate, funtori aggiunti, un primo corso in topologia algebrica, coomologia, spettri, fasci su spazi topologici. L'impostazione del seminario sarà tale da non assumere confidenza con il linguaggio delle ∞-categorie. Guglielmo Nocera Scuola Normale Superiore di Pisa - IRMA Strasbourg | PhD Candidate in Mathematics http://uz.sns.it/~Wilhelm795/

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