0900 - 0940, December 28, 2017 (Thursday)
Room 202, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 202室)
Irreducibility of Leaves in Shimura Varieties
Sug Woo Shin ( University of California, Berkeley )
Oort de ned central leaves in the special ber of Shimura varieties as the locus on which the isomorphism class of the universal p-divisible group is constant (when Shimura varieties parametrize abelian varieties with additional structure). By employing geometric methods, Chia-Fu Yu proved irreducibility of leaves for Hilbert modular varieties, and Chai and Oort for Siegel modular varieties. In this talk I report on an ongoing project with Arno Kret on proving the irreducibility for Hodge-type Shimura varieties via a di erent approach using more automorphic input.