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
2	9/11	Elliptic curve	Wenjie Cai
3	9/18	The spectrum of a ring	Jiawei Yang
4	9/25	Presheaves and sheaves in category theory	Jiawei Yang
5	10/2	No Talk
6	10/9	Categories and functors	Jiawei Yang
7	10/16	No Talk
8	10/23	Plane curves	Jiawei Yang
9	10/30	Matrix factorizations     An interesting application of elementary number theory to determinants	Jingtian Xu     Xiaode Xu
10	11/6	Diophantine approximation with an interesting application	Xiaode Xu
11	11/13	Introduction to differential on manifolds	Jiawei Yang
12	11/20	Distribution	Xiaode Xu
13	11/27	An informal introduction to automorphic representations	Shaoyun Yi
14	12/4	Fields and the Galois theory	Jiawei Yang
15	12/11	A historical introduction to algebraic geometry	Minghua Dou
16	12/18	A friendly introduction to measure theory	Xiaode Xu

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.