Topology Seminar: Lattice point counting and saddle connections

Seminar | September 4 | 4:10-5 p.m. | 3 Evans Hall

 Claire Burrin, Rutgers University

 Department of Mathematics

Various questions concerning translation surfaces depend on counting saddle connections. For a certain class of translation surfaces, this reduces to the more general, yet more tractable problem of counting points in discrete orbits for the linear action of a lattice of SL(2,R) on the Euclidean plane. This can be done effectively, using either methods from ergodic theory or from number theory. We will discuss the latter aspect, based on recent joint work with Amos Nevo, René Rühr, and Barak Weiss.