1. Introduction&Purposes

In the proposed summer school, we will introduce several advanced topics in number theory and arithmetic geometry, including Dieudonné modules,D-elliptic sheaves and Frobenius-Hecke sheaves, representation theory of complex reductive groups, and the Siegel-Weilformula. Our goal is to deepen students' knowledge and inspire them to explore further by providing a comprehensive understanding of these specialized subjects.This program will significantly benefit their future academic development, offering participants opportunities to gain deeper insights into these topics through mutual communication and collaborative learning.

2. Outline&Descriptions

The summer school will run for four days (July 1-4, 2024) and feature a total of 15 one-hour lectures covering the following four topics:

1. Dieudonné Modules (Speaker: Chia-FuYu)
2. D-Elliptic sheaves and Frobenius-Hecke Sheaves (Speaker: ÖzgeÜlkem)
3. Representation Theory of Complex Reductive Groups (Speaker: Cheng-ChiangTsai& WeiTsao)
4. The Siegel-Weil Formula (Speakers: Fu-TsunWei& Shih-YuChen)

3. Schedule

July 1

14:00~15:00 Dieudonné Modules (by Chia-Fu Yu)

15:20~16:20 The Siegel-Weil Formula (by Fu-Tsun Wei)

16:30~17:30 D-Elliptic sheaves and Frobenius-Hecke Sheaves (by Özge Ülkem)

Lecture Note: https://drive.google.com/file/d/13nImFxBv-f7_v3WjzQ0xanJgAfSwBZq0/view?usp=sharing

July2

10:00~11:00 Dieudonné Modules (by Chia-Fu Yu)

11:20~12:20 D-EllipticsheavesandFrobenius-HeckeSheaves(byÖzgeÜlkem)

14:00~15:00 The Siegel-Weil Formula (by Fu-Tsun Wei)

15:20~16:20 The Siegel-Weil Formula (by Shih-YuChen)

July3

10:00~11:00 DieudonnéModules(byChia-FuYu)

11:20~12:20 D-EllipticsheavesandFrobenius-HeckeSheaves(byÖzgeÜlkem)

14:00~15:00 The Siegel-Weil Formula (by Shih-Yu Chen)

15:20~16:20 Introduction to Lie representation theory (by Wei Tsao)

July4

10:00~11:00 Introduction to Lie representation theory (by Wei Tsao)

11:20~12:20 Representation theory of complex reductive group (by Cheng-Chiang Tsai)

14:00~15:00 Representation theory of complex reductive group (by Cheng-Chiang Tsai)

15:20~16:20 Representation theory of complex reductive group (by Cheng-Chiang Tsai)

Speakers will start with the most basic aspects initially and provide concrete examples, primarily focusing on presenting the central concepts and overarching phenomena associated with each topic.

4. Registration

Registration Closed  (deadline 6/14)