Back to Departmental Colloquium: Spring 2010
Departmental Colloquium
Date: Thursday, Mar 4, 2010
Time: 4:15PM
Location: JWB 335
John R. Parker
University of Durham
Title |
Complex hyperbolic lattices |
Abstract |
A complex hyperbolic lattice is a discrete group of isometries of the unit complex ball whose quotient has finite volume (with respect to the Bergman metric). There are relatively few examples of complex hyperbolic lattices known, but these examples may be described from several different points of view. Namely, one may use hyperbolic geometry and a fundamental polyhedron; one may use methods of algebraic geometry, in particular line arrangements; one may describe many of them as monodromy groups of hypergeometric functions and one may use techniques from number theory to give many of them as arithmetic groups. In this talk I will explain the relation between these points of view for a family of lattices constructed by Deligne and Mostow in the 1980s. |
Number Theory
Algebraic Geometry
Geometry and Topology