Seminar series
Date
Thu, 10 Nov 2016
Time
14:00 -
15:00
Location
L4
Speaker
Prof. Peter Schneider
Organisation
University of Muenster
The smooth representation theory of a p-adic reductive group G
with characteristic zero coefficients is very closely connected to the
module theory of its (pro-p) Iwahori-Hecke algebra H(G). In the modular
case, where the coefficients have characteristic p, this connection
breaks down to a large extent. I will first explain how this connection
can be reinstated by passing to a derived setting. It involves a certain
differential graded algebra whose zeroth cohomology is H(G). Then I will
report on a joint project with
R. Ollivier in which we analyze the higher cohomology groups of this dg
algebra for the group G = SL_2.