Peter Schneider - Progress report on derived Hecke
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 20/05/2018

In  the  modular  smooth  representation  theory  of  p-adic  reductive  groups  with  coefficents  in  a  field  of characteristic p (same p!) a close relation between smooth representations and modules over suitable Hecke algebras only holds in a derived version. This leads to differential graded Hecke algebras and their 
Ext(= cohomology)-algebras. I will report on joint work with R. Ollivier on the structural properties of the pro-p Iwahori Ext-algebra. If time permits I will also discuss the formalism of derived parabolic induction (joint work with S. Scherotzke)