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DTSTART;TZID=Europe/Paris:20210504T113000
DTEND;TZID=Europe/Paris:20210504T123000
DTSTAMP:20220422T121712Z
CREATED:20210423T144834Z
LAST-MODIFIED:20220422T121712Z
UID:9033-1620127800-1620131400@lmv.math.cnrs.fr
SUMMARY:AG : Ilias Andreou « Brauer algebras of complex reflection groups » -- Henry July « Equivariant cobordism of horospherical varieties »
DESCRIPTION:Exposés dans le cadre de la deuxième année de thèse. Chaque exposé durera 30 minutes et sera en anglais. \nFirst Talk :  « Brauer algebras of complex reflection groups » by Ilias Andreou (LMV) \nAbstract :  Brauer algebras were introduced by Brauer in 1937 as the dual object to orthogonal and symplectic groups in the context of Schur-Weyl duality. This original form of Brauer algebras was a natural extension of the algebra of the symmetric group. It took until 1988 for their structure to be completely described by Wenzl.  Since then\, many efforts have been made to define corresponding algebras for other types of Coxeter groups but also for complex reflection groups.  In 2011\, Chen gave a uniform definition of a Brauer algebra associated to every finite complex reflection group\, encompassing many of the already existing algebras. We will review\, in this talk\, the background that led to this general Brauer-Chen algebra and discuss some results concerning its structure. (Slides :  Ilias Andreou — Brauer Algebras ) \n  \nSecond talk:  « Equivariant cobordism of horospherical varieties » by Henry July ( LMV & Bergische Univ. Wuppertall) \nAbstract : We study the T-equivariant cobordism rings for the action of a torus T on smooth varieties over a field of characteristic zero. Rational T-equivariant cobordism rings of a wide range of examples were computed in recent years including the classes of toric varieties\, flag varieties and symmetric varieties of minimal rank using the technique of localisation in rational T-equivariant algebraic cobordism. We seek to extend the known results to any smooth projective (horo-)spherical variety with action of a maximal torus T. As an application\, we obtain explicit presentations also for the rational equivariant cobordism rings of the class of odd symplectic Grassmannians IG(k\,2n+1). (Slides: Henry July — Equivariant_cobordism_of_horospherical_varieties ) \n  \n[ Les exposés se dérouleront en ligne\, sur Zoom.  Pour obtenir les codes d’accès\, contacter le plus jeune des deux organisateurs. ] \nVidéo des exposés
URL:https://lmv.math.cnrs.fr/evenenement/ag-ilias-andreou-henry-july-lmv/
CATEGORIES:Séminaire AG
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DTSTART;TZID=Europe/Paris:20210518T113000
DTEND;TZID=Europe/Paris:20210518T123000
DTSTAMP:20220422T121845Z
CREATED:20210407T065753Z
LAST-MODIFIED:20220422T121845Z
UID:9137-1621337400-1621341000@lmv.math.cnrs.fr
SUMMARY:AG : Daniel Skodlerack (ShanghaiTech University) :  « Endo-parameters for p-adic classical groups »
DESCRIPTION:Abstract: Let G be a quasi-split form of a symplectic\, unitary or orthogonal group defined over a non-archimedean local field of odd residue characteristic. Every smooth irreducible representation of a p-adic classical group G contains a semisimple character\, a certain arithmetic character which is suitable for the study and handling of the category of smooth representations of G. (These characters were introduced by Bushnell–Kutzko and Stevens). Two of those characters contained in the same irreducible representation intertwine. \nIn the flavor of Bushnell–Henniart (local tame lifting) we generalize the notion of Endo–equivalence from simple characters to semisimple characters and parametrize intertwining classes of semisimple characters for G using new developed parameters\, the so-called endo-parameters.(joint with R. Kurinczuk and S. Stevens). \n  \n[ Exposé en ligne\, sur Zoom. Contacter l’un des deux organisateurs pour recevoir les codes de connexion. ] \nVidéo et slides de l’exposé.
URL:https://lmv.math.cnrs.fr/evenenement/daniel-skodlerack-shanghaitech-university-endo-parameters-for-p-adic-classical-groups/
CATEGORIES:Séminaire AG
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DTSTART;TZID=Europe/Paris:20210525T113000
DTEND;TZID=Europe/Paris:20210525T123000
DTSTAMP:20220422T122005Z
CREATED:20210522T143021Z
LAST-MODIFIED:20220422T122005Z
UID:9301-1621942200-1621945800@lmv.math.cnrs.fr
SUMMARY:AG : Alexander Thomas (MPIM Bonn) : "Topological invariants of surfaces from the Hecke algebra"
DESCRIPTION:Abstract :  We describe a construction which to a surface and a Iwahori-Hecke algebra associates an invariant which is a Laurent polynomial. More generally\, this construction works for surfaces with boundary and behaves well under gluing\, giving a non-commutative topological quantum field theory (TQFT). The invariant polynomial has surprising positivity properties\, which are proven using Schur elements. Joint work with Vladimir Fock and Valdo Tatitscheff. \n[ Exposé en ligne\, sur Zoom. Contacter l’organisateur LP pour recevoir les codes de connexion ] \nVidéo et slides de l’exposé.
URL:https://lmv.math.cnrs.fr/evenenement/alexander-thomas-mpim-bonn-topological-invariants-of-surfaces-from-the-hecke-algebra/
CATEGORIES:Séminaire AG
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