07-01【Weixu Su】Geodesics on translation surfaces

Time:2023-06-21Views:25

Speaker: Weixu Su(Sun Yat-sen University)

Time: 10:00-11:00, July 1, 2023

Room: Room 1124, Material Science Research Building (Section C)



A nonzero Abelian differential on a Riemann surface induces a flat metric with conical singularities, which is called a translation surface. On a translation surface, any simple closed curve is homotopic either to a simple closed geodesic or to a union of saddle connections. In this talk, we will discuss some recent results about the distribution of simple closed geodesic and saddle connections on translation surfaces.