Seminar on local G-shtukas and p-divisible groups
In this semester we study the construction of moduli spaces of p-divisible groups and their cohomology. These cohomology groups carry actions of three groups, two algebraic groups related to the moduli problem, and a group closely related to the absolute Galois group of the reflex field of the moduli datum. Conjecturally, the relations between these representations realized in the cohomology can be described in terms of local Langlands correspondences and are thus of great interest for algebraic number theory.
The first aim of this seminar is to understand the construction of the towers of moduli spaces of p-divisible groups following Rapoport and Zink, and of their l-adic cohomology. In the second part we consider the relation between moduli spaces of p-divisible groups and associated moduli spaces of abelian varieties. The aim is to understand the main result of Fargues' thesis, which proves that the cohomology of Rapoport-Zink spaces in certain basic cases realizes local Langlands correspondences.
Program
Time and location
Tuesday, 14:15-15:45 in Room 0.007, Endenicher Allee 60If you would like to come to the seminar but cannot come at this time, please send me an email.
Last modified: 10. 10. 2011, Eva Viehmann