Title: Hasse invariants and the bad reduction of unitary Shimura varieties, II

Speaker: Tetsushi Ito, Kyoto Univ

Abstract: In the second part, I will talk on my current research. I will propose a generalization of the Hasse invariant for some unitary Shimura varieties, which are moduli spaces of abelian varieties with additional structure. A generalization of the theory of Ekedahl and Oort will play an important role here. I will also give some applications to the geometry and l-adic cohomology of unitary Shimura varieties. This part will be geometric and some knowledge of arithmetic geometry would be preferable. However, I still hope that some part will be also understandable to non-specialists.