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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20220308T134500
DTEND;TZID=Europe/Paris:20220308T144500
DTSTAMP:20220311T082848Z
CREATED:20220106T141734Z
LAST-MODIFIED:20220311T082848Z
UID:9816-1646747100-1646750700@lmv.math.cnrs.fr
SUMMARY:Hipolito Treffinger (IMJ-PRG) : « From silting theory to scattering amplitudes »
DESCRIPTION:Abstract: The relationship between representation theory and the study of scattering amplitudes for scalar field theories started with the work of Arkani-Hamed\, Bai\, He and Yan\, when they showed that the amplitudes for planar scalar field theories with cubic potential can be calculated as the volume of a realisation of the associahedron. This connection was further developed by Bazier-Matte\, Douville\, Mousavand\, Thomas and Yildrim\, and subsequently by Padrol\, Palu\, Pilaud and Plamondon.  \nIn this talk we propose a new combinatorial method for the calculation of scattering amplitudes for arbitrary planar field theories using the silting objects in the derived category of the category of representations of the linearly oriented A_n quiver. In particular\, we show that this method applied to the monomial φ^(m+2) potentials recovers the Auslander-Reiten quiver of the m-cluster category of type A_n. This talk is based on a joint work with S. Barmeier\, P. Oak\, A. Pal and K. Ray. https://arxiv.org/abs/2112.14288
URL:https://lmv.math.cnrs.fr/evenenement/ag-hipolito-treffinger-imj-prg/
CATEGORIES:Séminaire AG
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20220315T153000
DTEND;TZID=Europe/Paris:20220315T163000
DTSTAMP:20220318T081432Z
CREATED:20220105T164719Z
LAST-MODIFIED:20220318T081432Z
UID:9805-1647358200-1647361800@lmv.math.cnrs.fr
SUMMARY:AG : Alfredo Nájera Chávez (UNAM\, Oaxaca) : Deformation theory for finite cluster complexes
DESCRIPTION:Exposé virtuel.  Attention à l’horaire inhabituel. \nCluster complexes are a certain class of simplicial complexes that naturally arise in the theory of cluster algebras. They codify a wealth of fundamental information about cluster algebras. The purpose of this talk is to elaborate on a geometric relationship between cluster algebras and cluster complexes. In vague words  this relationship is the following: cluster algebras of finite cluster type with universal coefficients may be obtained via a torus action on a Hilbert scheme. In particular\, we will discuss the deformation theory of the Stanley-Reisner ring associated to a finite cluster complex and present some applications related to the Gröbner theory of the ideal of relations among cluster and frozen variables of a cluster algebra of finite cluster type. Time permitting I will elaborate on how to generalize this approach to the context of tau-tilting finite algebras. This is based on a joint project with Nathan Ilten and Hipolito  Treffinger whose first outcome is the preprint arXiv:2111.02566.
URL:https://lmv.math.cnrs.fr/evenenement/ag-alfredo-najera-chavez-unam-oaxaca/
CATEGORIES:Séminaire AG
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DTSTART;TZID=Europe/Paris:20220322T134500
DTEND;TZID=Europe/Paris:20220322T144500
DTSTAMP:20220325T083843Z
CREATED:20220310T093124Z
LAST-MODIFIED:20220325T083843Z
UID:10028-1647956700-1647960300@lmv.math.cnrs.fr
SUMMARY:AG : Micha Tsfasman (LMV) :  « Distribution asymptotique des racines de Frobenius pour les courbes et les variétés abéliennes sur un corps fini »
DESCRIPTION:Résumé : La question qui nous intéresse est celle de comportement des racines de Frobenius quand le corps de base est fixe et le genre des courbes ou la dimension des variétés abéliennes tends vers infinie. J’expliquerai comment on peut formuler la question et quelle sont les réponses. Pour les courbes (ainsi que pour les corps de nombres) ce sont mes anciens travaux avec Serge Vladuts\, pour les variétés abéliennes c’est l’exposé de J.-P. Serre au séminaire Bourbaki en 2018 et mon travail en cours avec Nicolas Nadirashvili. \n  \n[ Exposé hybride. Contacter L. Pirio pour recevoir le lien de connexion en ligne. ]
URL:https://lmv.math.cnrs.fr/evenenement/micha-tsfasman-lmv-distribution-asymptotique-des-racines-de-frobenius-pour-les-courbes-et-les-varietes-abeliennes-sur-un-corps-fini/
LOCATION:Bâtiment Fermat\, salle 4205
CATEGORIES:Séminaire AG
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DTSTART;TZID=Europe/Paris:20220329T134500
DTEND;TZID=Europe/Paris:20220329T144500
DTSTAMP:20220327T171033Z
CREATED:20220327T171033Z
LAST-MODIFIED:20220327T171033Z
UID:10064-1648561500-1648565100@lmv.math.cnrs.fr
SUMMARY:AG : Colin Krawchuk (Cambridge) : Boundary algebras arising from uniform Postnikov diagams on surfaces.
DESCRIPTION:A Postnikov diagram is an embedding of oriented curves\, called strands\, in a disk. These diagrams are known to describe the cluster algebra structure of open positroid varieties\, with diagrams of uniform type corresponding to a cluster of minors in the Grassmannian Gr(k\,n). Each Postnikov diagram can be associated with a dimer algebra\, which is the Jacobian algebra of a quiver with potential. Baur-King-Marsh showed that the opposite of the boundary algebra corresponding to such a dimer algebra is isomorphic to a quotient of the preprojective algebra used by Jensen-King-Su to categorify the cluster structure of Gr(k\,n). They also determined the boundary algebra for degree two weak Postnikov diagrams arising from general surfaces. This talk will discuss a combinatorial approach to calculating the boundary algebra associated to a uniform Postnikov diagram\, and how this can be translated to Postnikov diagrams on other surfaces.
URL:https://lmv.math.cnrs.fr/evenenement/ag-colin-krawchuk-cambridge-boundary-algebras-arising-from-uniform-postnikov-diagams-on-surfaces/
LOCATION:Bâtiment Fermat\, salle 4205
CATEGORIES:Séminaire AG
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