# David Hansen: Cohomology of local Shimura varieties

**Time: **
Wed 2020-09-16 13.15

**Location: **
Zoom meeting ID: 657 9019 8929

**Participating: **
David Hansen, Bonn

### Abstract

Local Shimura varieties are non-archimedean analytic spaces analogous to Shimura varieties, whose cohomology is expected to realize (in a precise sense) both the local Langlands correspondence and the local Jacquet-Langlands correspondence. I'll discuss some new vanishing theorems for the cohomology of local Shimura varieties, and some consequences of these theorems. Among other consequences, we prove the supercuspidal case of Fargues's geometrization conjecture for \(\mathrm{GL}_n\).

**Zoom Notes:** The Meeting ID and Passcode will be recurring and should work every Wednesday. The password has been sent out on the department mailing lists. Please email
Wushi Goldring
if you are not on these mailing lists and are interested in attending.