Pacific Dynamics Seminar: Anthony Sanchez
Topic
Gaps of saddle connection directions for some branched covers of tori [video]
Speakers
Details
Translation surfaces given by gluing two identical tori along a slit have genus two and two cone-type singularities of angle $4\pi$. There is a distinguished set of trajectories called saddle connections that are the straight lines trajectories between cone points. We can associate a holonomy vector in the plane to each saddle connection whose components are the horizontal and vertical displacement of the saddle connection. How random is the planar set of holonomy of saddle connections? We study this question by computing the gap distribution for slopes of saddle connections for these and other related classes of translation surfaces.
Additional Information
This is a Past Event
Event Type
Scientific, Seminar
Date
May 14, 2020
Time
-
Location