Two families of commutation classes and categories attached to them

開催日時: 
2019/01/24 Thu 14:00 - 15:30
講演者: 
Se-jin Oh
講演者所属: 
Ewha Womans University
概要: 

In this talk, I will introduce two families of commutation classes of the same
simply-laced finite type and their combinatorial features.
The one is called "adapted classes" and the another is called "twisted adapted classes".
Surprisingly, they encode information of categries of finite dimensional modules over Langlads dual quantum affine algebras in an interesting way.
Using the generalized Schur-Weyl daulity constructed by Kang-Kashiwara-Kim,
we can construct simplicity-preserving correspondences between "heart" subcategories of finite dimensional modules over Langlads dual quantum affine algebras in various ways. The correspondece between Langlads dual quantum affine algebras was obervated by Frenkel-Hernandez and is not well-understood yet. This is joint work with Kashiwara, Kim, Suh and
Scrimshaw.