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Number Theory Lunch Seminar
The variation of the radii of convergence of linear p-adic differential equation
The variation of the radii of convergence of linear p-adic differential equation
Organizers
Speaker
Time
Thursday, November 13, 2025 12:15 PM - 1:00 PM
Venue
A4-1
Abstract
This talk explores the behavior of p-adic differential equations as the base point varies along the skeleton of an annulus. In the first part, we study how Newton polygons change when the norms of the coefficients vary, with these norms corresponding to the position of the point on the skeleton. This affects the slopes of the polygon and encodes the local behavior of solutions. In the second part, we examine how radii of convergence vary with the point, explain why this variation is continuous, and highlight several remarkable properties they satisfy.
Speaker Intro
I have been an assistant professor at BIMSA since January 2024. My research primarily focuses on p-adic differential equations. I defended my Ph.D. thesis in 2018 at Montpellier University. Before joining BIMSA, I was an assistant professor at Algiers University. Subsequently, I was a postdoc at YMSC, Tsinghua University, from April 2021 to December 2023.