Computational Algebra Seminar: Le Borgne -- Effective computations for some Galois representations

Speaker: Jeremy le Borgne
Title: Effective computations for some Galois representations
Time & Place: 3:05-4pm, Wednesday 6 June, Carslaw 535

Abstract: p-adic Hodge Theory deals with p-adic representations of p-adic
Galois groups. I will present the results of my thesis on how to
compute with objects involved in this theory. I will briefly recall
notions on Galois representations with coefficients in finite
fields. I will then present our main tool to study them: the theory
of phi-modules. I will describe an algorithm for the reduction of
phi-modules and explain how it can be used to compute invariants of
Galois representations.