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 \(\mathrm{GL}_n\).
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