Tsinghua-BIMSA symplectic geometry seminar
Organizers：
Kenji Fukaya, Honghao Gao, Hang Yuan(BIMSA)
Speaker：
Siyang Liu
University of Southern California
Time：
Wed., 14:00-15:00
Dec. 18, 2024
Venue：
C548, Shuangqing Complex Building A
Title:
Symplectic Aspects of Representation Theory of Hypertoric Varieties
Abstract：
In this talk we will discuss a symplectic model for T-equivariant hypertoric category \mathscr{O} as constructed by Braden-Licata-Proudfoot-Webster, which is the Fukaya-Seidel category of complexified complement of hyperplane arrangements associated to the corresponding hypertoric variety. This would provide a categorification of K-theoretic stable envelopes for hypertoric varieties. This is partly based on the recent work collaborated with S. Lee, Y. Li, and C. Y. Mak and the work in preparation with S. Ganatra, W. Li, and P. Zhou.
