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Algebra Seminar

Monday, September 30, 2019 - 3:15pm

Georgios Pappas

M.S.U. and I.A.S.


University of Pennsylvania

DRL 4N30

Milne has given a definition of "canonical” for an integral model of a Shimura variety at a place of good reduction which is satisfied for the natural integral models given as moduli schemes. In this talk, we will discuss how to uniquely characterize integral models of Shimura varieties over some primes where non-smooth reduction is allowed. More specifically, we consider integral models for Shimura varieties of Hodge type over primes p at which the group is tamely ramified and the level subgroup is parahoric. Then we provide a notion of a canonical integral model and show that most of the “natural" integral models that have been constructed so far are, indeed, canonical.