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DTSTAMP;TZID=America/Vancouver:20221205T163000
DTSTART;TZID=America/Vancouver:20221205T163000
DTEND;TZID=America/Vancouver:20221205T171500

UID:20221205T163000@prima2022.primamath.org
SUMMARY:On supercuspidal part of the l-adic cohomology of the Rapoport-Zink space for GSp(4)
DESCRIPTION:The Rapoport-Zink space for $\mathrm{GSp}(4)$ is a local counterpart of the Siegel threefold. Its $\ell$-adic etale cohomology is equipped with an action of the product of three groups: $\mathrm{GSp}_4(\mathbb{Q}_p)$, its non-trivial inner form $J(\mathbb{Q}_p)$, and the Weil group of $\mathbb{Q}_p$. This action is expected to be strongly related with the local Langlands correspondence for $\mathrm{GSp}_4$ and $J$. In this talk, I will explain how the $\mathrm{GSp}_4(\mathbb{Q}_p)$-supercuspidal part of the cohomology is described by the local Langlands correspondence. If time permits, I will also give some observations on the $\mathrm{GSp}(6)$ case.
STATUS:CONFIRMED
LOCATION:Parksville
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