Moduli of Fontaine--Laffaille modules and a mod p local-global compatibility result

Abstract: In a joint work with D. Le, B. V. Le Hung, S. Morra and C. Park, we prove under standard Taylor--Wiles condition that the Hecke eigenspace attached to a mod p global Galois representation $\overline{r}$ determines the restriction of $\overline{r}$ at a place $v$ about p, assuming that $v$ is unramified over $p$ and $\overline{r}$ has a 5n-generic Fontaine--Laffaille weight at $v$.

algebraic geometryalgebraic topologygroup theorynumber theoryrepresentation theory

Audience: researchers in the discipline

Queen Mary University of London Algebra and Number Theory Seminar