Speaker : Dr. Esmail Arasteh Rad (NCTS)
Title : Local models for the Rapoport-Zink spaces for local P-shtukas
Time : 2020-01-17 (Fri) 15:00 - 14:15
Place : Seminar Room 609, Institute of Mathematics (NTU Campus)
Abstract: The Rapoport-Zink spaces for local P-shtukas parametrize local P-shtukas together with a quasi-isogeny to a fixed one. They appear as function fields analogs for Rapoport-Zink spaces for p-divisible groups, and according to Langlands philosophy, they are assumed to play the same role in local Langlands program as the one that moduli stacks for global G-shtukas play in global situation. In previous talk we discussed the local model theory for moduli of global G-shtukas. In this talk we survey the construction of Rapoport-Zink spaces for local P-shtukas and discuss the theory of local models for them.