### Algebraization theorems in p-adic geometry

- Series
- Job Candidate Talk
- Time
- Tuesday, January 30, 2024 - 11:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Abhishek Oswal – Michigan State University – oswalabh@msu.edu

In recent years, algebraization theorems arising from model theory, in particular o-minimality, have been a crucial ingredient in several breakthroughs in arithmetic geometry and Hodge theory. In this talk, I'll present some of my recent work on p-adic versions of these model theoretic algebraization criteria, with a focus on two different applications of this circle of ideas. The first being an algebraization theorem in the context of Shimura varieties, which are vaguely speaking moduli spaces of Hodge structures. The second being in the context of non-abelian Hodge theory, in the setting of moduli spaces of flat connections and local systems.

Zoom: https://gatech.zoom.us/j/95425627723