Speaker: Abhinandan
Date: January 09, 2026
Affiliation: IMJ-PRG, Sorbonne Université, France

Abstract: In number theory, one of the central objects of study are representations of Galois groups, for example, $G_{\mathbb{Q}}$ the group of automorphisms of the field of algebraic numbers over the field of rational numbers. A famous application of ($p$-adic) representations of $G_{\mathbb{Q}}$ is the resolution of Shimura—Taniyama conjecture by Wiles and Taylor which led to a proof of Fermat’s Last Theorem. In this talk, we will consider $p$-adic representations of $G_{\mathbb{Q}}$ coming from geometry, and look into their behaviour locally at a prime $p$ using linear algebra objects, for example, $(\varphi, \Gamma)$-modules, coming from $p$-adic Hodge theory.