[정수론 집중강연 2021.08.03, 08.05] Geometric approaches to the local Langlands correspondence I-IV

by qsms posted Jul 29, 2021
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일정시작 2021-08-03
일정종료 2021-08-05
배경색상 #77CC01
반복주기 2
반복단위 1.일(단위)

Date:

8월 3일(화)   (I)  10:00 ~ 11:00 

                      (II) 11:20 ~ 12:20
8월 5일(목)  (III) 10:00 ~ 11:00

                     (IV) 11:20 ~ 12:20
 

Place:  27동 220호

Title:  Geometric approaches to the local Langlands correspondence I-IV

Speaker:   홍세린 (University of Michigan)

 

Abstract:

The local Langlands program aims to understand representations of an algebraic group over a local field in relation to Galois representations of the base field. Thus far, significant progress in this program has been made with geometric approaches. An overarching theme is to construct and study a geometric object whose cohomology is naturally a representation of an appropriate Galois group or an algebraic group.


This lecture series aims to provide an introduction to these approaches. It will begin with a brief review of the local class field theory and the local Langlands correspondence for GLn. Then it will introduce several key geometric objects, such as Rapoport-Zink spaces, local Shimura varieties, and the Fargues-Fontaine curve, and discuss how they can be used to realize the local class field theory and the local Langlands correspondence for GLn. 

 

 

 


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