A coherent version of geometric Satake equivalence for type A

Organizers

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

Speaker

Shiyixin Liang 梁石易新

清华大学求真书院

Time & Venue

Monday,15:30 -16:30, Mar. 2, 2026

B627, Shuangqing Complex Building

Title & Abstract

A coherent version of geometric Satake equivalence for type A

The celebrated geometric Satake equivalence establishes an equivalence between the perverse sheaves category on the affine Grassmannian and the representation category of the dual group. In a series of works, S. Cautis and H. Williams established a framework on studying an abelian Coulomb branch category, and a particular case concerns about coherent sheaves on the (spherical) affine Steinberg variety. They conjectured a coherent version of geometric Satake for this setting. In this talk, I will discuss my work on this conjecture in the case of type A.