YoVDO

Thurston's Asymmetric Metric on Teichmüller Space Revisited

Offered By: Big Ideas In Dynamics via YouTube

Tags

Teichmüller Spaces Courses Topology Courses Differential Geometry Courses Lie Groups Courses Geodesics Courses Hyperbolic Geometry Courses Homotopy Theory Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore a recorded talk from the Big Ideas in Dynamics in Geometry: A Hybrid Conference, delivered by Jeffrey Danciger from UT Austin. Delve into the fascinating world of hyperbolic structures on surfaces with negative Euler characteristic and their organization within the classical Teichmüller space. Examine Thurston's asymmetric metric on Teichmüller space, which compares hyperbolic structures through their length spectra. Discover how this concept is generalized to d-tuples of hyperbolic structures and positive representations of fundamental groups into real split, semi-simple Lie groups of higher rank. Learn about the joint work with François Guéritaud and Fanny Kassel, which uncovers interesting geometric and dynamical invariants associated with these generalizations. Gain insights into this complex topic during this one-hour presentation, recorded on September 28th, 2024, at the University of Illinois Chicago.

Syllabus

Thurston’s asymmetric metric on Teichmüller space revisited by Jeffrey Danciger (UT Austin)


Taught by

Big Ideas In Dynamics

Related Courses

General Relativity
Massachusetts Institute of Technology via MIT OpenCourseWare
An Introduction to Hyperbolic Geometry
Indian Institute of Technology Kanpur via Swayam
Geometry of 2-Dimensional Riemannian Disks and Spheres - Regina Rotman
Institute for Advanced Study via YouTube
Hyperbolic Geometry, Fuchsian Groups and Moduli Spaces - Lecture 1
International Centre for Theoretical Sciences via YouTube
Some Geometric Properties of Spacetime
ICTP Mathematics via YouTube