Speaker: Kang Zuo
Title: Xiao's inequality, Mumford-Tate groups of families over curves and intersections of Shimura sub varieties with Torelli locus of curves in $A_g$.
Title: Xiao's inequality, Mumford-Tate groups of families over curves and intersections of Shimura sub varieties with Torelli locus of curves in $A_g$.
Time: September 9, 3:00-4:00 pm.
Room: 1518
Abstract：I shall report a recent joint work with Ke Chen, Xin Lu and Sheng-Li Tan. We use Xiao Gang's inequality and try classify Mumford Tate groups of families of curves. As the first step: we show that some type Mumford-Tate groups can not appear as Mumford-Tate groups of families of curves. Equivalently any Shimura sub variety with those type Mumford-Tate groups intersects Torelli locus of curves in at most finitely many points. Note that this statement is stronger than Oort conjecture for those type Shimura sub varieties.
Abstract：I shall report a recent joint work with Ke Chen, Xin Lu and Sheng-Li Tan. We use Xiao Gang's inequality and try classify Mumford Tate groups of families of curves. As the first step: we show that some type Mumford-Tate groups can not appear as Mumford-Tate groups of families of curves. Equivalently any Shimura sub variety with those type Mumford-Tate groups intersects Torelli locus of curves in at most finitely many points. Note that this statement is stronger than Oort conjecture for those type Shimura sub varieties.