Title: Borcherds products, Zagier duality, and traces of singular moduli 
<p>Speaker: Paul Jenkins


<p>Abstract: Zagier related traces of singular moduli to the coefficients of
certain half integral weight modular forms, giving a new proof of Borcherds'
infinite product isomorphism.  In this talk we revisit Zagier's results, giving
new proofs of some theorems that give exact formulas for these coefficients and
traces.  In addition, we discuss p-adic properties of traces and the
congruences that follow.