Organizer: Shaoyun Yi

Email: yishaoyun926@xmu.edu.cn

Office: B515

Tentative Schedule:

Week No.	Date	Topics	Speaker
1	9/4	Some conjectures in analytic number theory (Abstract)	Biao Wang (王标)
2	9/11	Elliptic curve	Wenjie Cai (蔡文傑)
3	9/18	The spectrum of a ring	Jiawei Yang (杨嘉维)
4	9/25	Presheaves and sheaves in category theory	Jiawei Yang (杨嘉维)
5	10/2	No Talk
6	10/9	Categories and functors	Jiawei Yang (杨嘉维)
7	10/16	No Talk
8	10/23	Plane curves	Jiawei Yang (杨嘉维)
9	10/30	Matrix factorizations     An interesting application of elementary number theory to determinants	Jingtian Xu (徐景天)     Xiaode Xu (徐晓得)
10	11/6	Diophantine approximation with an interesting application	Xiaode Xu (徐晓得)
11	11/13	Introduction to differential on manifolds	Jiawei Yang (杨嘉维)
12	11/20	Distribution	Xiaode Xu (徐晓得)
13	11/27	An informal introduction to automorphic representations	Shaoyun Yi (易少云)
14	12/4	Fields and the Galois theory	Jiawei Yang (杨嘉维)
15	12/11	A historical introduction to algebraic geometry	Minghua Dou (窦明华)
16	12/18	A friendly introduction to measure theory	Xiaode Xu (徐晓得)

Abstracts

Biao Wang - Some conjectures in analytic number theory

In this talk, we will introduce some conjectures in analytic number theory, including the Riemann Hypothesis, Siegel zeros, Twin prime conjecture, Subconvexity problem, Quantum Unique Ergodicity, and Sarnak's conjecture.