Geometria_Pisa

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[Indico] Lorenzo Venturello, Flag spheres and $\gamma$-positivity, 06/10/2022, 16:00 Europe/Rome
by francesco.sala＠unipi.it 05 Oct '22

05 Oct '22

Title: Flag spheres and $\gamma$-positivity, Speaker(s): Lorenzo Venturello, Università di Pisa, Date and time: 6 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/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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Seminari Baby Geometri
by Giovanni Italiano 03 Oct '22

03 Oct '22

Cari tutti, care tutte, Vi scriviamo per informarvi che anche quest’anno organizziamo i seminari del Baby Geometri, un ciclo di seminari che ha lo scopo di approfondire argomenti classici o tematiche di ricerca nell'ambito della Geometria e della Topologia. I nostri seminari sono rivolti principalmente a studenti della magistrale e del dottorato (ma sono aperti a chiunque più in generale a chiunque sia interessato agli argomenti), conterranno una parte introduttiva apprezzabile da tutti e non saranno mai eccessivamente tecnici. I seminari si terranno in presenza, nelle aule del Dipartimento di Matematica o della Normale (variabile di settimana in settimana, a seconda della situazione), generalmente il martedì alle 14:30. Per il momento prevediamo anche di continuare a trasmetterli anche online via Microsoft Teams. Il primo seminario si terrà domani (martedì 4 ottobre) alle 14:30 in Aula Seminari (DM): Jeronimo Garcia Mejia (Karlsruher Institut für Technologie) The geometry of the Word Problem We will review a classical problem in group theory, the so-called Word Problem, from a geometric perspective by relating it to an even older geometric problem, the Isoperimetric Problem. The main actor being Dehn functions. We will talk about an interesting class of groups and review what is known about their Dehn functions and present some recent progress. If time allows it we will discuss the ideas behind it which will serve as an excuse to talk about an interesting open problem. Vi lascio un breve elenco degli speaker successivi, e ne approfitto per ricordarvi che potete sempre consultare il nostro sito http://people.dm.unipi.it/babygeometri/ per avere un programma aggiornato. venerdì 14 ottobre (online) - Oğuz Şavk (Stanford University / Boğaziçi University) martedì 18 ottobre - Laura Marino (Institut de Mathématiques de Jussieu) martedì 25 ottobre - Andrea Tamburelli (Università di Pisa) Nel caso desideriate essere aggiunti ad una mailing list con i reminder settimanali, potete rispondere a questa mail e vi aggiungeremo. A presto, Giuseppe Bargagnati Filippo Bianchi Giovanni Italiano Alice Merz Diego Santoro

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[Indico] Sam DeHority, Hecke correspondences and Lagrangian fibrations, 05/10/2022, 15:00 Europe/Rome
by francesco.sala＠unipi.it 03 Oct '22

03 Oct '22

Title: Hecke correspondences and Lagrangian fibrations, Speaker(s): Sam DeHority, Columbia University, Date and time: 5 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/104 Abstract -------- I will discuss a method to associate new algebraic structures with deformations to certain holomorphic Lagrangian fibrations, and describe their relation with other parts of mathematical physics. This algebraic structure controls the enumerative geometry of the variety admitting the Lagrangian fibration in a way analogous to how a quantum group controls the enumerative geometry of a symplectic singularity. Various questions, including the monodromy of the quantum differential equation, can be answered using local-to-global techniques. -- Indico :: Email Notifier https://events.dm.unipi.it/e/104

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Leiden - Assistant or Associate professor in Algebra, Geometry and Number Theory
by Francesco Sala 01 Oct '22

01 Oct '22

Da parte di Francesca Arici (Leiden): --- Vacancy - Assistant or Associate professorship in Algebra, Geometry and Number Theory: https://www.universiteitleiden.nl/en/vacancies/2022/kwartaal-3/22-619assist… --- A presto, Francesco

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[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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