Home /  GAAHD Postdoc Seminar: Gap distributions for saddle connections on the octagon

Seminar

GAAHD Postdoc Seminar: Gap distributions for saddle connections on the octagon March 27, 2015 (11:45 AM PDT - 12:30 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium
Speaker(s) Grace Work (Massachusetts Institute of Technology)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

(Joint with Caglar Uyanik.) Following a strategy developed by Athreya and Cheung, we compute the gap distribution of the slopes of saddle connections on the octagon by translating the problem to a question about return times of the horocycle flow to an appropriate Poincaré Section. This same strategy was used by Athreya, Chaika, and Lelièvre to compute the gap distribution on the Golden L. The octagon is the first example of this type of computation where the Veech group has two cusps.

No Notes/Supplements Uploaded No Video Files Uploaded