John Voight

Thuesday 4 April 2006, 3:05-4:00PM, Carslaw 373

Computational aspects of Shimura curves

The study of the classical modular curves has long proved rewarding for number theorists both theoretically and computationally, and an expanding list of conjectures have been naturally generalized from this setting to that of Shimura curves. However, only recently have the computational aspects of these curves been explored systematically. In this talk, we discuss some of the central algorithmic problems for Shimura curves.