SMRI Algebra and Geometry Online Seminar
On the derived category of the Iwahori–Hecke algebra
Eugen Hellmann (University of Münster)
Monday, 06 July, 17:00–18:30 AEST (Sydney)
Other time zones: Vancouver, Mon 00:00; Toronto, Mon 03:00; London, Mon 08:00; Cape Town, Mon 09:00; Mumbai, Mon 12:30; Beijing, Mon 15:00
In this talk I will state a conjecture which predicts that the derived category of smooth representations of a p-adic split reductive group admits a fully faithful embedding into the derived category of (quasi-)coherent sheaves on a stack of L-parameters. We will make the conjecture precise in the case of the principal block of GLn and relate it to the construction of a family of representations on the stack of L-parameters that interpolates a modified version of the local Langlands correspondence. The existence of this family is suggested by the work of Helm and Emerton–Helm. I will explain why the derived tensor product with this “Emerton–Helm family” should realize the expected embedding of derived categories and discuss some explicit examples.
Please register to attend.
The seminar will be held online via Zoom. You will be send a confirmation email with connection details.
This seminar will be recorded and made available on the SMRI Youtube channel.