Geometric Representation Theory Seminar

Organizers：

Lin Chen, Will Donovan, Penghui Li, Peng Shan, Changjian Su, Wenbin Yan

Speaker：

David Hernandez (Université Paris Cité)

Time：

Wed., 15:30-16:30

Oct. 30, 2024

Venue：

Ning Zhai (新宁斋) 101

Title：

Monoidal Jantzen Filtrations and quantization of Grothendieck rings

Abstract：

We introduce a monoidal analogue of Jantzen filtrations in the framework of monoidal categories with generic braidings.

It leads to a deformation of the multiplication of the Grothendieck ring. We conjecture, and we prove in many remarkable situations, that this deformation is associative so that our construction yields a quantization of the Grothendieck ring. This is a joint work with Ryo Fujita.