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Theta correspondence and the Borisov-Gunnells relations
Romain Branchereau
We consider a geometric theta correspondence from the first homology of a modular curve, to modular forms of weight . Using Stevens' description of the homology, we find that th…
A regularized theta lift on the symmetric space of
Romain Branchereau
We define a regularized lift from harmonic weak Maass forms of weight to differential forms of degree on the symmetric space $\SL_N(\R)/\SO(N)$, that are smooth outside…
Diagonal restriction of Eisenstein series and Kudla-Millson theta lift
Romain Branchereau
We consider the Kudla-Millson theta series associated to a quadratic space of signature . By combining a `see-saw' argument with the Siegel-Weil formula, we show that its (r…
The Kudla-Millson form via the Mathai-Quillen formalism
Romain Branchereau
In \cite{km2}, Kudla and Millson constructed a -form on an orthogonal symmetric space using Howe's differential operators. It is a crucial ingredient in their theory of…