NTS Spring 2015 Abstract
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Jan 29
| Lillian Pierce |
| Averages and moments associated to class numbers of imaginary quadratic fields |
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Coming soon... |
Feb 05
| Keerthi Madapusi |
| Heights of special divisors on orthogonal Shimura varieties |
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The Gross-Zagier formula relates two complex numbers obtained in seemingly very disparate ways: The Neron-Tate height pairing between Heegner points on elliptic curves, and the central derivative of a certain automorphic L-function of Rankin type. I will explain a variant of this in higher dimensions. On the geometric side, the intersection theory will now take place on Shimura varieties associated with orthogonal groups. On the analytic side, we will find Rankin-Selberg L-functions involving modular forms of half-integral weight. This is joint work with Fabrizio Andreatta, Eyal Goren and Ben Howard. |
Feb 12
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Feb 19
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Feb 26
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Mar 05
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