Date: Monday, March 05, 2018
Location: 4088 East Hall (4:10 PM to 5:30 PM)
Title: The arithmetic of arithmetic Coxeter groups
Abstract: In the 1990s, John H. Conway developed a visual approach to the study of integervalued binary quadratic forms. His creation, the "topograph," sheds light on classical reduction theory, the solution of Pelltype equations, and allows tedious algebraic estimates to be simplified with straightforward geometric arguments. The geometry of the topograph arises from a coincidence between the Coxeter group of type (3, infinity) and the group PGL(2,Z). From this perspective, Conway's topograph is the first in a series of applications arising from coincidences between Coxeter groups and arithmetic groups. In this talk, I will survey Conway's results and generalizations arising from arithmetic hyperbolic Coxeter groups.
Files:
Speaker: Marty Weissman
Institution: UC Santa Cruz
Event Organizer: Stephen Debacker
