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SUMMARY:Generating series of special divisors on arithmetic ball quotients
DTSTART:20180613T161500
DTEND:20180613T171500
DTSTAMP:20260916T034719Z
UID:3225f7510477be698329f53ea7a0cea9838549b886edcc33f428b2d7
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jan Bruinier (TU Darmstadt)\nA celebrated result of Hirzebruch
  and Zagier states that the generating series of Hirzebruch-Zagier divisor
 s on a Hilbert modular surface is an elliptic modular form with values in 
 the cohomology. We discuss some generalizations and applications of this r
 esult. In particular\, we report on recent joint work with B. Howard\, S. 
 Kudla\, M. Rapoport\, and T. Yang\, in which we prove an analogue for spec
 ial divisors on integral models of ball quotients. In this setting the gen
 erating series takes values in an arithmetic Chow group in the sense of Ar
 akelov geometry. If time permits\, we address some applications to arithme
 tic theta lifts and the Colmez conjecture.
LOCATION:MA A3 31 https://plan.epfl.ch/?room=MAA331
STATUS:CONFIRMED
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