Generalized Borcherds products and two number theoretic applications

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Speaker: 
Ken Ono
Institution: 
University of Wisconsin
Time: 
Sat, 11/07/2009 - 2:30pm
Location: 
RH 101

At the 1994 ICM in Zurich, Borcherds introduced the notion of an automorphic infinite product. In this lecture I will discuss joint work with Jan Bruinier which gives automorphic infinite products arising from harmonic Maass forms. We will discuss two number theoretic applications:

1) Partitions
2) Central derivatives of modular L-functions.