A Derived Hecke Algebra in the Context of the Mod P Langlands Program - Rachel Ollivier

Explore a 56-minute lecture from the Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program, delivered by Rachel Ollivier from the University of British Columbia. Delve into the intricacies of a derived Hecke algebra within the context of the mod p Langlands program. Begin with an introduction to the Hecke algebra and current knowledge in the field before examining super singular modules. Investigate the product, involution, and trace map concepts, followed by a discussion on the product of all and the twisted dual. Gain insights into advanced mathematical concepts and their applications in the Langlands program through this comprehensive presentation hosted by the Institute for Advanced Study.

Introduction
The Hecke algebra
What is known
Super singular modules
The product
Involution
Trace map
Product of all
Twisted dual