Summer School on Automorphic Representations and the Langlands Program

（July 8th – 19th, 2019, Soochow University）

1.Objective

The Langlands Program is currently one of the most important research areas of Mathematics, and is deeply connected with the developments of algebraic geometry, algebraic number theory, and representation theory. This summer school aims to introduce to Chinese graduate students the fundamental ideas and techniques of the Langlands Program.

2. Organizing Committee

Zhang Yin, Chung Pang Mok, Zhifeng Peng

3. Course Contents

Automorphic forms and automorphic representations are the main objects of investigations in the Langlands Program. During the first week (July 8th – 12th), we give an introduction to the fundamental concepts concerning automorphic forms and automorphic representations; for the second week (July 15th – 19th), we introduce the main techniques in the Langlands Program, namely trace formula and automorphic L-functions.

  

  

  

  

  

Course   Contents

Speaker

First week

（7.08-7.12）

Eisenstein   Series

Chenyan Wu

Representation theory   of real groups

Fangyang Tian

Representation   theory of p-adic groups

Kam Fai Tam

Second week

（7.15-7.19）

Arthur-Selberg   trace formula and Endoscopy theory

Chung Pang Mok

Local trace   formula of spherical variety

Chen Wan

On methods of   construction of L-functions

Yuanqing Cai

note：total lecture time is 3-4 hours each day.

4. Schedule and venue

Schedule: July 8th – July 19th, 2019.

Venue: Lecture theater on the 2nd Floor of Jing Zheng Building, Soochow University (天赐庄校区).

5. Accommodation arrangements for students

  

For registered students (with recommendation by supervisors): accommodation would be provided; non-registered students have to arrange for their own accommodation.

6. Contact

Zhifeng Pengemail：zfpeng@vnsclub.net

phone：13851668440

We cordially welcome the participation of senior undergraduate students, graduate students, post-graduates, and other researchers.

  

School of Mathematical Sciences, Soochow University

June 11


Appendix:

(For the lecture time it is one hour for each lecture, but it is quite flexible)

The lecture schedule of the first week:

- Monday July 8th

 First lecture 9:30 - 10:30, Tian

 Second lecture 11:00 - 12:00 Tam

 Third lecture 2:30 - 3:30 Wu


 - Tuesday July 9th

 First lecture 9:30 - 10:30, Wu

 Second lecture 11:00 - 12:00 Tian

 Third lecture 2:30 - 3:30 Tam


 - Wednesday July 10th

 First lecture 9:30 - 10:30, Tam

 Second lecture 11:00 - 12:00 Wu

 Third lecture 2:30 - 3:30 Tian


 -Thursday July 11th

 First lecture 9:30 - 10:30, Tian

 Second lecture 11:00 - 12:00 Wu

 Third lecture 2:30 - 3:30 Tam


 -Friday July 12th

 First lecture 9:30 - 10:30, Tam

 Second lecture 11:00 - 12:00 Tian

 Third lecture 2:30 - 3:30 Wu

  

The Lecture schedule of the second week:

  

- Monday July 15th

  

First lecture 9:30 - 10:30, Mok

  

Second lecture 11:00 - 12:00 Mok

  

Third lecture 2:30 - 3:30 Cai

  

  

- Tuesday July 16th

  

First lecture 9:30 - 10:30, Cai

  

Second lecture 11:00 - 12:00 Cai

  

Third lecture 2:30 - 3:30 Mok

  

  

- Wednesday July 17th

  

First lecture 9:30 - 10:30, Wan

  

Second lecture 11:00 - 12:00 Wan

  

Third lecture 2:30 - 3:30 Cai

  

  

-Thursday July 18th

  

First lecture 9:30 - 10:30, Mok

  

Second lecture 11:00 - 12:00 Wan

  

Third lecture 2:30 - 3:30 Cai

  

  

-Friday July 19th

  

First lecture 9:30 - 10:30, Wan

  

Second lecture 11:00 - 12:00 Wan

  

Third lecture 2:30 - 3:30 Mok