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Borcherds Products on O(2, L) and Chern Classes of Heegner Divisors : Lecture Notes in Mathematics - Jan H. Bruinier
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Borcherds Products on O(2, L) and Chern Classes of Heegner Divisors

By: Jan H. Bruinier

Paperback | 1 November 2007

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Introduction.- Vector valued modular forms for the metaplectic group. The Weil representation. Poincarè series and Einstein series. Non-holomorphic Poincarè series of negative weight.- The regularized theta lift. Siegel theta functions. The theta integral. Unfolding against F. Unfolding against theta.- The Fourier theta lift. Lorentzian lattices. Lattices of signature (2,l). Modular forms on orthogonal groups. Borcherds products.- Some Riemann geometry on O(2,l). The invariant Laplacian. Reduction theory and L^p-estimates. Modular forms with zeros and poles on Heegner divisors.- Chern classes of Heegner divisors. A lifting into cohomology. Modular forms with zeros and poles on Heegner divisors II.

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