PIRSA:C20030 - Geometric Representation TheoryPODCAST Subscribe to podcast

Geometric Representation Theory

Organizer(s): Andre Henriques   Joel Kamnitzer   Aaron Mazel-Gee   Ben Webster   Kevin McGerty   Catharina Stroppel   Carl Mautner   Tobias Barthe  

Collection URL: http://pirsa.org/C20030

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PIRSA:20060044  ( MP4 Medium Res , MP3 , PDF ) Which Format?
K-Motives and Koszul Duality
Speaker(s): Jens Eberhardt
Abstract: Koszul duality, as conceived by Beilinson-Ginzburg-Soergel, describes a remarkable symmetry in the representation theory of Langlands dual reductive groups. Geometrically, Koszul duality can be stated as an equivalence of categories of mixed (motivic) sheaves on flag varieties. In this talk, I will ... read more
Date: 26/06/2020 - 11:15 am

PIRSA:20060036  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Conjectures on p-cells, tilting modules, and nilpotent orbits
Speaker(s): Pramod Achar
Abstract: For quantum groups at a root of unity, there is a web of theorems (due to Bezrukavnikov and Ostrik, and relying on work of Lusztig) connecting the following topics: (i) tilting modules; (ii) vector bundles on nilpotent orbits; and (iii) Kazhdan–Lusztig cells in the affine Weyl group. In this talk,... read more
Date: 26/06/2020 - 12:00 pm

PIRSA:20060037  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Categorification of the Hecke algebra at roots of unity.
Speaker(s): Ben Elias
Abstract: Categorical representation theory is filled with graded additive categories (defined by generators and relations) whose Grothendieck groups are algebras over mathbb{Z}[q,q^{-1}]. For example, Khovanov-Lauda-Rouquier (KLR) algebras categorify the quantum group, and the diagrammatic Hecke categories c... read more
Date: 26/06/2020 - 2:00 pm

PIRSA:20060043  ( MP4 Medium Res , MP3 , PDF ) Which Format?
Perverse sheaves and the cohomology of regular Hessenberg varieties
Speaker(s): Ana Balibanu
Abstract: Hessenberg varieties are a distinguished family of projective varieties associated to a semisimple complex algebraic group. We use the formalism of perverse sheaves to study their cohomology rings. We give a partial characterization, in terms of the Springer correspondence, of the irreducible repres... read more
Date: 26/06/2020 - 3:15 pm

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