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Towards a Langlands correspondence for Hecke modules of SL_n in characteristic p

New Geometric Techniques in Number Theory July 01, 2013 - July 12, 2013

July 08, 2013 (02:45PM PDT - 03:15PM PDT)
Speaker(s): Karol Koziol (Columbia University)
Location: MSRI: Simons Auditorium
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Abstract 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.
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