This term's study group is intended to introduce the proposals of Akshay Venkatesh and his collaborators of certain derived structures appearing in the Langlands correspondence. This especially concerns the derived Hecke algebra set up in reference (1), the derived Galois deformation ring set up in reference (2), and how their relationship reflects a free action of a free exterior algebra of a certain motivic cohomology group on the cohomology of arithmetic groups that was conjectured in (1).
The group will consist of two somewhat parallel tracks, which we will call
The program for the term is available here. [pdf]
Please contact one of the organisers if you are interested in giving a talk.
The main references we will consult are the following works.
Some notes from the study group are being posted on Ashwin Iyengar's webpage, here.
The study group meets on Wednesday afternoon at 12:00 at UCL, usually in room 500 or 505 of the maths department. For updates about the room, stay tuned to the mailing list.
The organizers are Pol van Hoften (KCL), Ashwin Iyengar (KCL), Alice Pozzi (UCL), and Carl Wang-Erickson (ICL). Pol and Ashwin are the main contacts for the Galois track, and Alice and Carl are the main contacts for the Hecke track.
Back to the study group landing page.
Back to Carl's main webpage.