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CM values of regularized theta lifts

Vrijeme: 23.10.2013
Predavaonica: 005
Predavač: Stephan Ehlen, TU Darmstadt
Naziv: CM values of regularized theta lifts

CM points are special points in moduli spaces of abelian
varieties. A particular example of such a moduli space is the modular
curve Y(1) which is obtained as the quotient of the complex upper
half-plane by the action of the modular group. The points of this
curve parametrize isomorphism classes of elliptic curves over the
complex numbers. The CM points correspond to elliptic curves with
complex multiplication (CM). I will explain a generalization of these
CM points to orthogonal Shimura varieties and give a precise
description of the values of certain automorphic forms obtained via
Borcherds' singular theta correspondence at these points.

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