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Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

许大昕, California Institute of Technology

Inviter:  
Title:
Kloosterman Crystals for Reductive Groups
Time & Venue:
2019.7.25 10:00-11:00 N224
Abstract:
I will first review the relationship between the classical Bessel equation

and the classical Kloosterman sum

Such a relation can be regarded as an instance of the geometric Langlands correspondence for GL2. I will survey the recent generalizations of this story for arbitrary reductive groups, based on the works by Frenkel-Gross, Heinloth-Ng?-Yun, and X. Zhu. In the end, I will report the joint work in progress with X. Zhu, where we study the p-adic aspect of this theory.
 

 

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