Numerical modulo p Langlands correspondence for Hecke modules

by Prof. M-F. Vigneras (University of Paris 6/7, France)

Thursday 5 Aug 2010, 11:45 → 12:45 Asia/Kolkata

AG-77 (Colaba Campus)

Let F be a p-adic field and let $n \geq 1$. We have the equality of N=M where N is the number of smooth irreducible n-dimensional mod p representations of the absiolute Galois group of F (with fixed determinant of a Frobenius), and M is the number of simple n-dimensional supersingular mod p modules (with fixed action of a uniformizer) of the pro-p-Iwahori Hecke algebra of GL(n,F).