Theta Series and (Singular) Theta Lifts
Duration: 1 hour 3 mins
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About this item
| Description: |
Funke, J
Monday 24th May 2021 - 16:45 to 17:45 |
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| Created: | 2021-05-25 14:17 |
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| Collection: | New connections in number theory and physics |
| Publisher: | Isaac Newton Institute for Mathematical Sciences |
| Copyright: | Funke, J |
| Language: | eng (English) |
| Abstract: | In this talk we give an introduction to theta series and theta lifts and their 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 (Heidelberg). |
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