EVENT DETAILS AND ABSTRACT

Title: Toroidal compactifications for integral models of Shimura varieties of Hodge type
Speaker: Keerthi Madapusi Sampath
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

Following methods of Faltings and Kisin, we construct toroidal compactifications of integral canonical models of Shimura varieties of Hodge type with hyperspecial level structures at a prime p>2. The idea is to take their Zariski closure in an appropriate toroidal Faltings-Chai compactification of the moduli of polarized abelian varieties, and then to write down an explicit model for a formal chart for this embedding. On the way, we will prove an interesting rationality property for Hodge cycles on abelian varieties with respect to rational structures arising from semi-stable reduction at the prime p.