Jens Funke

Durham University

Theta series and (singular) theta lifts

Heilbronn Number Theory Seminar

23rd March 2022, 4:00 pm – 5:00 pm
Fry Building, 2.04

In this talk we give an introduction to theta series and theta lifts and its representation-theoretic background. We then explain singular theta lifts of Borcherds type and employ the reductive dual pair U(p, q) × U(1, 1) to construct two different kinds of Green forms for codimension q-cycles in Shimura varieties associated to unitary groups. In particular, we establish an adjointness result between the singular theta lift and the Kudla-Millson theta lift and discuss further applications in the context of the Kudla Program.

This is joint work with Eric Hofmann.

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