ARITHMETIC VOLUMES OF UNITARY SHIMURA VARIETIES
Benjamin Howard (Boston College)
25-Feb-2021, 22:00-23:00 (3 years ago)
Abstract: The integral model of a GU$(n-1,1)$ Shimura variety carries a natural metrized line bundle of modular forms. Viewing this metrized line bundle as a class in the codimension one arithmetic Chow group, one can define its arithmetic volume as an iterated self-intersection. We show that this volume can be expressed in terms of logarithmic derivatives of L-functions at integer points. This is joint work with Jan Bruinier.
number theory
Audience: researchers in the topic
Columbia CUNY NYU number theory seminar
Organizers: | Dorian Goldfeld*, Eric Urban, Fedor Bogomolov, Yuri Tschinkel, Alexander Gamburd, Victor Kolyvagin, Gautam Chinta |
*contact for this listing |
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