Toroidal compactifications of certain Kuga families

Toroidal compactifications of certain Kuga families

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Kai-Wen Lan, Princeton University
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.