Presented By: Department of Mathematics
RTG Seminar on Number Theory Seminar
On the geometric connected components of moduli of p-adic shtukas
Pre-talk for graduate students: 2pm
Main talk: 3-3:50pm
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. It is widely expected that 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. The new ingredient of this work is the use of specialization maps in the context of diamonds.
Pre-talk Title: The specialization map in the context of Huber's adic spaces Speaker(s): Ian Gleason Friedberg (UC Berkeley)
Main talk: 3-3:50pm
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. It is widely expected that 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. The new ingredient of this work is the use of specialization maps in the context of diamonds.
Pre-talk Title: The specialization map in the context of Huber's adic spaces Speaker(s): Ian Gleason Friedberg (UC Berkeley)