Title: Moduli of principally polarized abelian varieties
Speaker: Robert Carls
Place: Carslaw 273 
Time: 18 May, 2:05-2:55PM

Abstract: In my talk I will describe the Siegel space, i.e. the moduli
space of principally polarized abelian varieties, in terms of Shimura
data. I will explain the difference between fine and coarse moduli
spaces. There exists a fine moduli space $A_{g,n}$ classifying
principally polarized abelian varieties with level-$n$ structure ($n$
sufficiently large!). I will discuss level structures in the context
of Deligne's formalism. The moduli space $A_{g,n}$ admits a smooth
integral model at the primes not dividing $n$. In a second talk I will
discuss Ben Moonen's general definition of a canonical integral model
of a Shimura variety.