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Advances in Lie Theory, Representation Theory, and Combinatorics: Inspired by the work of Georgia M. Benkart
Organizers: Hélène Barcelo (MSRI / Simons Laufer Mathematical Sciences Institute (SLMath)), Ellen Kirkman (Wake Forest University), Gail Letzter (Retired ), Daniel Nakano (University of Georgia), Arun Ram (University of Melbourne)This workshop will have a view to the future of a broad spectrum of topics including
- structure and classification of finite dimensional Lie algebras and superalgebras in characteristic p
- structure of infinite dimensional Lie algebras and their representations
- deformation theory of algebras, double constructions and elemental Lie algebras
- diagram algebras and combinatorial representation theory
- algebraic combinatorics of groups of Lie type:characters, Schur-Weyl duality, Bratteli diagrams, and McKay correspondences
- quantum groups and crystal bases, particularly for superalgebras and affine algebras
- examples of fusion categories arising from representations of Drinfeld doubles and other algebras
- cohomology for finite tensor categories with applications to its underlying geometry
This meeting will feature principal contributors in these areas in a celebration of the work of Georgia Benkart. With the same focus and tenacity that Georgia always had, we will strive to provide a conference full of beautiful mathematics, incredible inspiration, and the warmth of Georgia’s welcoming personality to our field and our community.
Updated on May 02, 2024 10:44 AM PDT
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