TETRAHEDRAL GEOMETRY/TOPOLOGY SEMINAR
ANNOUNCEMENT
DATE: Friday, March 2,
2007
LOCATION: Hempfield
High School, Room 213 (directions at http://www.millersville.edu/~tgts/)
followed by
dinner at Barbara’s home.
4:30 TALK: Barbara
Nimersheim,
“A Hyperbolic
Geometer Does Number Theory (or is it ‘attempts to do’?)”
Amazingly
enough, number theorists' Markoff spectrum (defined
using binary quadratic forms) has implications for closed geodesics on the
punctured torus-a beautiful hyperbolic 2-manifold. I will summarize results from three
papers: one by Carolyn Series
characterizing simple geodesics on the punctured torus, one by David Crisp and
William Moran about geodesics with single self-intersections, and one by David
Crisp, et al. on doubly self-intersecting geodesics. While the connections between number theory
and hyperbolic geometry are interesting in their own right, I will conclude by
explaining why I'm particularly interested in them and how I hope these results
will relate to hyperbolic 3-manifolds.
EVERYONE WELCOME
PLEASE FORWARD THIS ANNOUNCEMENT TO ANYONE
INTERESTED
The Tetrahedral Geometry/Topology Seminar is
sponsored jointly by