Speaker: |
Bruno Chiarellotto (U of Padova) |
Title: |
p-adic differential equations |
Date (JST): |
Tue, Jul 29, 2025, 13:30 - 15:00 |
Place: |
Seminar Room A |
Abstract: |
If we want to translate "en large" the title, we will deal with differential equations over a field which is totally disconnected, in particular with the field of p-adic numbers. The subject started with the first proof of the rationality of the Zeta function by Dwork (60's of the last century). Which kind of solutions are we supposed to deal with? Which are relevant differential equations? Which tools are we going to use? How to characterize singularities? How to compare with the classical (over the complex numbers) case? In our talk we will try to address all these subjects. |