Symplectic Aspects of Representation Theory of Hypertoric Varieties

Time：Wed., 14:00-15:00 Dec. 18, 2024

Venue：C548, Shuangqing Complex Building A

Organizer：Kenji Fukaya, Honghao Gao, Hang Yuan

Speaker：Siyang Liu

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.

DATEDecember 17, 2024

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