Organizing Committee

Thurston maps are orientation-preserving branched covering maps of the two-sphere to itself for which the forward orbits of the branch points form a finite set. They arise in the classification of complex dynamical systems.

Recent work has shown close connections between the combinatorial, topological, and algebraic theory of Thurston maps and that of mapping class groups. The algorithmic and computational theories of mapping class groups are highly advanced and have reached the point of effective implementation via computer programs. However, such implementations for Thurston maps are significantly less advanced. The aim of the proposed Hot Topic workshop is to bring together researchers in the computational theory of mapping class groups and those in the combinatorial theory of Thurston maps in order to make headway on fundamental problems.

This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.

Image for "Algorithms in Complex Dynamics and Mapping Class Groups"

Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee

Workshop Schedule

Saturday, November 2, 2019
8:30 - 8:55am EDTRegistration11th Floor Registration Desk 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor lecture Hall 
9:00 - 9:45am EDTMapping Class Group Algorithms - Johanna Mangahas, University of Buffalo11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTMapping class groups and twisted rabbits - Becca Winarski, University of Michigan11th Floor Lecture Hall
11:30 - 12:15pm EDTFast Nielsen-Thurston Classification - Öykü Yurttas, Dicle University11th Floor Lecture Hall
12:30 - 1:45pm EDTBreak for Lunch/ Free Time  
1:45 - 2:30pm EDTThe Tree Lifting Algorithm - James Belk, University of St Andrews11th Floor Lecture Hall
2:45 - 3:30pm EDTComplexity of Thurston Decidability - Dzmitry Dudko, Stony Brook University11th Floor Lecture Hall
3:45 - 4:15pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:15 - 5:00pm EDTLighting Talks and Software Demo - TBA11th Floor Lecture Hall 
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Sunday, November 3, 2019
9:00 - 9:45am ESTThe census of transverse veering triangulations - Saul Schleimer, University of Warwick11th Floor Lecture Hall
10:00 - 10:10am ESTGroup Photo11th Floor Lecture Hall 
10:10 - 10:30am ESTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am ESTDynamical Mapping Classess Associated to a Rational Map - Sarah Koch, University of Michigan11th Floor Lecture Hall
11:30 - 12:15pm ESTDeformation Spaces of Rational Maps - Tanya Firsova, Kansas State University11th Floor Lecute Hall
12:30 - 2:00pm ESTBreak for Lunch/ Free Time  
2:00 - 2:45pm ESTA Skew Product Map with a Non-Contracting Iterated Monodromy Group - Volodymyr Nekrashevych, Texas A&M University11th Floor Lecture Hall
3:00 - 3:45pm ESTElastic Graphs - Dylan Thurston, Indiana University11th Floor Lecture Hall
4:00 - 4:30pm ESTCoffee/Tea Break11th Floor Collaborative Space 

Lecture Videos

Elastic Graphs

Dylan Thurston
Indiana University
November 3, 2019

The Tree Lifting Algorithm

James Belk
University of St Andrews
November 2, 2019