|Date: Tuesday, March 08, 2022
Location: 1360 East Hall (4:00 PM to 5:00 PM)
Title: Triangular modular curves
Abstract: The study of the classical modular curves has rewarded mathematicians for perhaps a century. Triangular modular curves are a certain generalization of modular curves that arise from quotients of the upper half-plane by congruence subgroups of hyperbolic triangle groups. Despite being nonarithmetic in almost all cases, they nevertheless carry several appealing features in common with the classical case; they can be seen as interesting from many points of view: group theory, number theory, geometry, topology, complex analysis, special functions, and even computation! In this talk, I will survey the topic, with attention to examples and applications.
Speaker: John Voight
Institution: Dartmouth College