Towards a Langlands correspondence for Hecke modules of SL_n in characteristic p
Karol Koziol (Columbia University)
MSRI: Simons Auditorium
We show how to realize the pro-p-Iwahori-Hecke algebra of SL_n as a subalgebra of the
pro-p-Iwahori-Hecke algebra of GL_n. Using the interplay between these two algebras, we
deduce a numerical Langlands correspondence between "packets" of Hecke modules and mod-p
projective Galois representations.