Complex Analysis and Dynamics Seminar
Friday: 2:00 pm - 3:00 pm
Room 6417
Organizers: David Aulicino, Jun Hu (On Leave), Sudeb Mitra, Dragomir Saric
Spring 2026: Upcoming Seminars
February 6: Barak Weiss (Tel Aviv University)
Horocycle dynamics on the moduli space of translation surfaces, in the rank one setting
In ongoing joint work with Jon Chaika and Florent Ygouf, we establish a Ratner-type orbit closure theorem for the horocycle flow on rank one loci, in the moduli space of translation surfaces. The question of describing horocycle invariant ergodic measures is still open, and contrary to Ratner's work, we describe all orbit-closures without a corresponding measure classification theorem. I will give a crash course on the structure of these moduli spaces, emphasizing rel foliations and rel deformations. Then I will describe our approach to the problem, and indicate some of the main difficulties.
February 20: Chenxi Wu (University of Wisconsin)
TBA
April 24: Benjamin Dozier (Cornell University)
TBA
Previous Semesters:
- Fall 2006
- Spring 2007
- Fall 2007
- Spring 2008
- Fall 2008
- Spring 2009
- Fall 2009
- Spring 2010
- Fall 2010
- Spring 2011
- Fall 2011
- Spring 2012
- Fall 2012
- Spring 2013
- Fall 2013
- Spring 2014
- Fall 2014
- Spring 2015
- Fall 2015
- Spring 2016
- Fall 2016
- Spring 2017
- Fall 2017
- Spring 2018
- Fall 2018
- Spring 2019
- Fall 2019
- Spring 2020
- Fall 2021
- Spring 2022
- Fall 2022
- Spring 2023
- Fall 2023
- Spring 2024
- Fall 2024
- Spring 2025
- Fall 2025
For information about the history of our seminar, please visit: History.