Logo

Mathematical Sciences Research Institute

Home » Postdoc Seminar II: On the geometry of the flip graph

Seminar

Postdoc Seminar II: On the geometry of the flip graph October 14, 2016 (12:00 PM PDT - 12:45 PM PDT)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Valentina Disarlo (MSRI - Mathematical Sciences Research Institute)
Description No Description
Video
No Video Uploaded
Abstract/Media

The flip graph of an orientable punctured surface is the graph whose vertices are the ideal triangulations of the surface (up to isotopy) and whose edges correspond to flips. Its combinatorics is crucial in works of Thurston and Penner’s decorated Teichmuller theory. In this talk we will explore some geometric properties of this graph, in particular we will see that it provides a coarse model of the mapping class group in which the mapping class groups of some subsurfaces are strongly convex. We will also establish some bounds on the growth of the diameter of the flip graph modulo the mapping class group, generalising a result of Sleator-Tarjan-Thurston. This is a joint work with Hugo Parlier. 

No Notes/Supplements Uploaded No Video Files Uploaded