Totally geodesic surfaces in hyperbolic 3-manifolds

Mathematical Conversations
Topic:Totally geodesic surfaces in hyperbolic 3-manifolds
Speaker:Alan Reid
Affiliation:University of Texas, Austin; Member, School of Mathematics
Date:Wednesday, March 2
Time/Room:6:00pm - 7:00pm/Dilworth Room

Although the existence of a totally geodesic surface in a finite volume hyperbolic 3-manifold is "rare", when they do exist, their presence seems to have an impact on the geometry and topology of the hyperbolic 3-manifold, as well as number theoretic properties of its fundamental group. This talk will discuss some of these features.