Event time:
Tuesday, April 29, 2014 - 12:30pm to Monday, April 28, 2014 - 8:00pm
Location:
LOM 205
Speaker:
John Voight
Speaker affiliation:
Dartmouth
Event description:
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 ï¬eld, including the image of CM points, and equations for Shimura curves.