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Diagonal restriction of Eisenstein series and Kudla-Millson theta lift by Branchereau, Romain is a scholarly article available to read on EtoBox.

What is Diagonal restriction of Eisenstein series and Kudla-Millson theta lift about?

We consider the Kudla-Millson theta series associated to a quadratic space of signature $(N,N)$. By combining a `see-saw' argument with the Siegel-Weil formula, we show that its (regularized) integral along a torus attached to a totally real field of degree $N$ is the diagonal restriction of an Eisenstein series. It allows us to express the Fourier coefficients of the diagonal restriction as intersection numbers, which generalizes a result of Darmon-Pozzi-Vonk to totally real fields.

Author

Branchereau, Romain

Published

2022

Language

EN