Exposés dans le cadre de la deuxième année de thèse. Chaque exposé durera 30 minutes et sera en anglais.
First Talk : « Brauer algebras of complex reflection groups » by Ilias Andreou (LMV)
Abstract : 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 )
Second talk: « Equivariant cobordism of horospherical varieties » by Henry July ( LMV & Bergische Univ. Wuppertall)
Abstract : 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 )
[ Les exposés se dérouleront en ligne, sur Zoom. Pour obtenir les codes d’accès, contacter le plus jeune des deux organisateurs. ]