On the geometric connected components of moduli of p-adic shtukas.

Abstract: Through the recent theory of diamonds, P. Scholze constructs local Shimura varieties and moduli of p-adic shtukas attached to any reductive group. These are diamonds that generalize the generic fiber of a Rapoport–Zink space. These interesting spaces realize in their cohomology instances of the local Langlands correspondence. In this talk, we describe the set of connected components of moduli spaces of p-adic shtukas (with one paw). The new ingredient of this work is the use of specialization maps in the context of diamonds.

algebraic geometrynumber theory

Audience: researchers in the topic

( paper | slides )

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MIT number theory seminar

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