Abstract: Let F be a p-adic field and let l be a prime different from p. The local Langlands correspondence for n-dimensional l-adic algebraic families of Galois representations demonstrates the compatibility of local Langlands for GL_n(F) with l-modular congruences and l-adic deformations. It amounts to an isomorphism between a moduli space of integral l-adic Galois representations and the integral Bernstein variety for GL_n. In this talk we will discuss work in progress with Dat, Helm, and Kurinczuk, toward a generalization of this method beyond GL_n to quasi-split reductive groups.
Moduli spaces of l-adic Langlands parameters and the Bernstein center
11.06.2019 13:15 - 14:45
Organiser:
H. Grobner, A. Minguez-Espallargas, A. Mellit
Location: