Title: The classification of irreducible mod p representations of a p-adic GLn
Speaker: Florian Herzig
Speaker Info: Northwestern
Special Note: Note the unusual time and location!
Let F be a finite extension of the p-adic numbers. We describe the classification of irreducible admissible smooth representations of GL_n(F) over an algebraically closed field of characteristic p, in terms of "supersingular" representations. This generalizes results of Barthel-Livne for n = 2. Our motivation is the hypothetical mod p Langlands correspondence for GL_n, which is supposed to relate smooth mod p representations of GL_n(F) to n-dimensional mod p Galois representations.Date: Monday, November 16, 2009