Cohomology of arithmetic groups over function fields

Geometry Topology Seminar
Monday, March 31, 2014 - 14:05
1 hour (actually 50 minutes)
Skiles 006
University of Utah
Suppose that F is a field with p elements, and let G be the finite-index congruence subgroup of SL(n, F[t]) obtained as the kernel of the homomorphism that reduces entries in SL(n, F[t]) modulo the ideal (t). Then H^(n-1)(G;F) is infinitely generated. I'll explain the ideas behind the proof of the above result, which is a special case of a result that applies to any noncocompact arithmetic group defined over function fields.