Toroidal Compactifications of Certain Kuga Families

JOINT IAS/PU NUMBER THEORY SEMINAR
Topic:Toroidal Compactifications of Certain Kuga Families
Speaker:Kai-Wen Lan
Affiliation:Princeton University and Member, School of Mathematics
Date:Thursday, April 23
Time/Room:4:30pm - 5:30pm/Fine Hall -- 214

We will explain how toroidal compactifications of certain Kuga families of abelian varieties over integral models of PEL-type Shimura varieties, including for example all those products of universal abelian schemes, can be constructed by a uniform method. We will also explain some of their applications to the cohomology theories of automorphic bundles.