Title: p-adic differential equations and radii of convergence
Abstract: In the ultrametric setting, linear differential equations persent features that do not appear over the complex field. In this talk, I will present some examples of these features. Especially I will talk about the radii of convergence of the solutions, and explain why they are powerfull invariants of the equation.
Note: The lunch gathering starts at noon, and the talk begins at 12:15.
About the Seminar: This is an in-person seminar at BIMSA over lunch, aimed to promote communications in the Number Theory teams at BIMSA and YMSC. Each talk is 45 minutes long and does not focus on research results. Instead, we encourage each speaker to discuss either (1) a basic notion in Number Theory or related fields or (2) applications or computational aspects of Number Theory. People interested in Number Theory are welcome to attend.
Upcoming talk:
Date: September 27
Speaker: Tinhinane Amina Azzouz
Date: October 11
Speaker: Dongsheng Wu
Date: October 18
Speaker: Farahnaz Amiri
Date: October 25
Speaker: Chuangqiang Hu
Date: November 1
Speaker: Qijun Yan
Date: November 8
Speaker: Yilong Wang
Title: Numbers in modular tensor categories
Abstract: Modular tensor categories (MTCs) are finite tensor categories giving interesting SL(2,Z) representations. They can be viewed as generalizations of quadratic forms and their Weil representations. In this talk, I will give a quick introduction to MTCs, and briefly explain how, via the congruence property and Galois symmetry of the associated SL(2,Z) representations, basic algebraic number theory appears in the study of MTCs.
Date: November 15
Speaker: TBA
Date: November 22
Speaker: Lynn Heller
Date: November 29
Speaker: TBA
Past talks：
Date: September 20
Speaker: Koji Shimizu
Title: Perfectoid fields and perfectoid spaces
Abstract: In the late 1970s, Fontaine and Wintenberger found that certain interesting fields of characteristic zero and p have the same Galois groups, which eventually led to the theory of perfectoid fields and perfectoid spaces by Scholze. I will explain examples of these mathematical objects and why they are interesting. This is a less technical talk aimed at people in Number Theory and related fields.
Date: September 13
Speaker: No Speaker
Title: Icebreaking and Organization
Abstract: This week, we will introduce ourselves to each other, discuss the organization of the seminar, and exchange the NT seminar and course information in the Beijing area. The lunch talk starts next week.
We met on Thursdays in the Spring of 2023.
Date: June 1
Title: Integer points on a cubic surface and semi-flat Calabi–Yau metrics on special Lagrangian torus bundles
Speaker: Sebastian Heller
Date: May 18
Title: The spectral theory in the sense of Berkovich
Speaker: Tinhinane Amina Azzouz
Date: April 20
Title: Hida families and ideal class groups
Speaker: Dong Yan
Date: April 6
Title: Isogeny graph of supersingular elliptic curves and its applications on cryptography
Speaker: Zheng Xu
Date: March 23
Title: Basic examples of Lean
Speaker: Yong Suk Moon
Date: March 16
Title: Computational thinking and mathematical thinking: a more than beneficial relationship
Speaker: Taiwang Deng
Date: March 2
Title: MW-cohomology and computation
Speaker: Koji Shimizu
We met on Fridays in the Fall of 2022.
Date: November 18
Title: On algebraic Maass forms
Speaker: Taiwang Deng
Date: November 11
Title: On special values of L-functions
Speaker: Emmanuel Lecouturier
Date: November 4
Title: The mu-invariants for residually reducible ordinary Galois representations
Speaker: Dong Yan
Date: October 28
Title: Finite morphism and radii of convergence of a p-adic differential equation
Speaker: Tinhinane Amina Azzouz
Date: October 21
Title: Closed geodesics, class number, and Poincare sections
Speaker: Yitwah Cheung
Date: October 14
Title: Quadratic forms and Bhargava’s compositon law
Speaker: Yong Suk Moon
Date: September 30
Title: A spectral interpretation of the Riemann zeta function
Speaker: Dongsheng Wu
Date: September 23
Title: Drinfeld halfplane
Speaker: Koji Shimizu
