MATH Seminar

Title: Power series expansions for modular forms
Seminar: Number Theory
Speaker: John Voight of University of Vermont
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2013-02-13 at 3:00PM
Venue: W306
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Abstract:
We exhibit a method to numerically compute power series expansions of modular forms on a cocompact Fuchsian group, using the explicit computation a fundamental domain and linear algebra. As applications, we compute Shimura curve parametrizations of elliptic curves over a totally real field including the image of CM points, and equations for Shimura curves.

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