Number Theory Lunch Seminar | P-adic differential equations and radii of convergence

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.

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.

Tinhinane Amina Azzouz

BIMSA

Tinhinane Amina Azzouz is a postdoc at Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA).

Research Field:

Number Theory

Personal Homepage:

https://www.bimsa.cn/newsinfo/504002.html