- Lennart Gehrmann, Universität Duisburg-Essen
- Gelfand's trick for the spherical derived Hecke algebra
- 10/14/2020
- 4:00 PM - 5:00 PM
- Online (virtual meeting)
- Preston Wake (wakepres@msu.edu)
Gelfand’s trick shows that the spherical Hecke algebra of a
p-adic split reductive group such as $\mathrm{GL}_n(\mathbf{Q}_p)$ is commutative.
In this talk I will present a generalization of this result to the
setting of derived Hecke algebras as introduced by Venkatesh, i.e. I
show that the spherical derived Hecke algebra is graded-commutative
under mild assumptions on the coefficient ring.
