Monoidal Jantzen Filtrations and quantization of Grothendieck rings

Time：Wed., 15:30-16:30 Oct. 30, 2024

Venue：Ning Zhai (新宁斋) 101

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

Speaker：David Hernandez

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.

DATEOctober 29, 2024

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