中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
表示论讨论班
Speaker: 卜辰璟(牛津大学)
Inviter:杨若涛
Language: English
Title: Langlands duality between weights and stratifications
Time & Venue:2026年8月26日(星期三) 14:00-15:00 南楼N818
Abstract: Langlands duality is often formulated as equivalences between two categories of sheaves or representations. Its most basic form is the geometric Satake equivalence, where weights of a representation correspond to orbits in the affine Grassmannian. In this talk, I will propose a conjectural general picture for other versions of Langlands duality, where semiorthogonal decompositions by weights constructed in a joint work with Tudor Pădurariu and Yukinobu Toda correspond to stratifications on the Langlands dual side, and I will speculate on what the stratifications are in several examples.
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