研讨班报告

表示论讨论班:Langlands duality between weights and stratifications

发布时间:2026-08-26

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 & Venue2026826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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