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Gelfand-Kirillov dimension and mod p cohomology for GL2

  • 演讲者:胡永泉(中国科学院晨兴数学中心)

  • 时间:2020-11-10 14:30-17:00

  • 地点:慧园3栋415报告厅&Zoom

时间:2020-11-10 14:30-15:30, 16:00-17:00

Zoom ID:697 2562 9748


Abstract
Talk 1: Gelfand-Kirillov dimension in p-adic Langlands program
Talk 2: On the mod p cohomology for GL2

In the first talk, I will explain this notion for mod p and p-adic representations of p-adic groups, and explain a control theorem of the Gelfand-Kirillov dimension for mod p representations of GL(2) and its application in the p-adic Langlands program. 

In the second talk, I will prove an upper bound for some mod p smooth representations of GL(2) coming from cohomology of Shimura curves and discuss the main steps of the proof.

This is a joint work with Breuil, Herzig, Morra, Schraen, and with Wang.