p-adic functoriality for inner forms of unitary groups.

Seminar series

Number Theory Seminar

Date

Thu, 24 Jan 2013

Time

16:00 - 17:00

Location

Speaker

Judith Ludwig

Organisation

Imperial College London

In this talk I will explain a notion of p-adic functoriality for inner forms of definite unitary groups. Roughly speaking, this is a morphism between so-called eigenvarieties, which are certain rigid analytic spaces parameterizing p-adic families of automorphic forms. We will then study certain properties of classical Langlands functoriality that allow us to prove p-adic functoriality in some "stable" cases.