F. Herzig

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Suppose that G is a connected reductive group over a p-adic field F , that K is a hyperspecial maximal compact subgroup of G(F), and that V is an irreducible representation of K over the algebraic closure of the residue field of F. We establish an analogue of the Sa-take isomorphism for the Hecke algebra of compactly supported, K-biequivariant functions f :(More)
Ana Caraiani, "On the p-adic local Langlands correspondence for GL2(Qp) and beyond" The p-adic local Langlands program is a recent generalization of the classical Langlands program and appears to be the natural context in which to study the latter. In this talk, I will start by talking about relating two-dimensional Galois representations and modular forms,(More)
Let l be a prime, and let Γ be a finite subgroup of GL n (F l) = GL(V). With these assumptions we say that Condition (C) holds if for every irreducible Γ-submodule W ⊂ ad 0 V there exists an element g ∈ Γ with an eigenvalue α such that tr e g,α W = 0. Here, e g,α denotes the projection to the generalised α-eigenspace of g. This condition arises in the(More)