Symplectic Aspects of Representation Theory of Hypertoric Varieties

组织者

深谷賢治 , 高鸿灏 , 袁航

演讲者

Siyang Liu

时间

2024年12月18日 14:00 至 15:00

地点

Shuangqing-C546

线上

Zoom 388 528 9728 (BIMSA)

摘要

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.