Geometry, Topology and Dynamics Seminar
Chen Meiri
University of Chicago
Thin hyperbolic monodromy groups for the hypergeometric differential equation.
Abstract: We will give examples of families of thin hyperbolic monodromy groups for the hypergeometric differential equation.
More precisely, each hyperbolic monodromy group is generated by two matrices which belong to an integral orthogonal group of a rational quadratic form of signature (n,1). The main issue in our work is to decide if these two matrices generate an infinite index subgroup. The difficulty comes from the fact that there isn't a general algorithm which decide if a finite set of a finitely generated group generates a finite index subgroup.
This is joint work with Elena Fuchs and Peter Sarnak.
Monday February 25, 2013 at 3:00 PM in SEO 636