Adrian Vasiu (Binghamton)

Integral canonical models of Shimura varieties of Hodge type.

We present three methods that prove the existence of integral canonical models of Shimura varieties of Hodge type in arbitrary mixed characteristic (0,p). The first two methods are due to us while the third one is due to Kisin. In order to reduce the complexity of the problem and to make the talk more accessible, we will concentrate our talk on GSO(2,n) Shimura varieties.