Number Theory Group

• 9월  30일 (월) 17:00 - 18:00  220동 201호

    Speaker  : Chol Park (UNIST)

    Title         : Automorphic invariants on a space of mod-p algebraic automorphic forms

    Abstract : It is believed that one can attach a smooth mod-p representation of a general linear group to a mod-p local Galois representation in a natural way that is called mod-p Langlands program. This conjecture is quite far from being understood beyond GL₂(ℚₚ). However, for a given mod-p local Galois representation one can construct a candidate on the automorphic side corresponding to the Galois representation for mod-p Langlands correspondence via global Langlands correspondence. In this talk, we introduce automorphic invariants on the candidate that determine the given Galois representation for a certain family of mod-p Galois representations.