Seminar Event Detail


RTG Seminar on Number Theory

Date:  Monday, April 18, 2022
Location:  4088 East Hall (3:00 PM to 4:00 PM)

Title:  Degree-shifting action and L-packets

Abstract:   The degree-shifting action on the cohomology of locally symmetric spaces, which has its origins in archimedean representation theory, enjoys a surprising connection with arithmetic as expected by the so-called motivic action conjectures. On the other hand, in the case of Shimura varieties, the nature of degree-shifting action is subtle, even for modular curves; why complex conjugation? In this talk, we will describe the subtle nature of the degree-shifting action on the coherent cohomology of Shimura varieties, which involves archimedean L-packets.

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Speaker:  Gyujin Oh
Institution:  Princeton University

Event Organizer:   Kartik Prasanna   

 

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