Organizer: Shaoyun Yi

Email: yishaoyun926@xmu.edu.cn

Office: B515

Tentative Schedule:

Week No.	Date	Topics	Speaker
1	9/3	Introduction to spectral sequence in algebraic topology	Jiawei Yang (杨嘉维)
2	9/10	Gerschgorin circle theorem & Courant-Fischer Theorem (minimax theorem)     Tensor Product of Modules & Tensor Product of Algebras	Jingtian Xu (徐景天)     Letian Yang (杨乐天)
3	9/17	Some Foundational Theorems of Differential Dynamical Systems	Weichen Huang (黄尉宸)
4	9/24	Several interesting applications of tensor product in different areas	Letian Yang (杨乐天)
5	10/1	No Talk
6	10/8	The Gamma function and the Beta function I: The Bohr-Mollerup theorem	Boyi Zheng (郑博弈)
7	10/15	The Gamma function and the Beta function II: Reflection formula, Legendre duplication formula and Raabe's formula	Boyi Zheng (郑博弈)
8	10/22	An interesting application of Gamma function and a brief introduction to numerical algebra	Xiaode Xu (徐晓得)
9	10/29	The Gamma function and the Beta function III: Digamma function and Stirling's formula	Boyi Zheng (郑博弈)
10	11/5	A general introduction to number theory study heading to the Langlands program	Shaoyun Yi (易少云)
11	11/12	Introduction to the $p$-adic field $\mathbb{Q}_p$	Letian Yang (杨乐天)
12	11/19	Introduction to the Sidon set with some interesting applications	Chenxi Guan (管晨希)
13	11/26	An elementary proof of the Prime Number Theorem I	Haoyuan Sun (孙浩源)
14	12/3	An elementary proof of the Prime Number Theorem II	Haoyuan Sun (孙浩源)
15	12/10	Introduction to algebraic topology: van Kampen Theorem	Letian Yang (杨乐天)
16	12/17	The Riemann-Stieltjes Integral	Chenxi Guan (管晨希)