Lecture Notes
Winter 2020
TCC Course on Graph cohomology
Winter 2019
TCC Course on Outer space and automorphisms of free groups (2)
Winter 2016
TCC Course on Compactifications of Moduli spaces
Winter 2015
TCC Course on Outer space and Automorphisms of free groups
St. Andrews August 2013
Lectures on automorphism groups of right-angled Artin groups
Tokyo July 2014 Introduction to Outer space for free groups and RAAGs
Lecture 1, Lecture 2, Lecture 3
Geometric Group Theory Course Spring 2014
Week 1 |
January 6, 2014 January 7 January 9 |
Introduction, free groups and ping-pong, fundamental groups and covering spaces |
Week 2 |
January 13 January 14 |
The geometry of the hyperbolic plane: geodesics, |
Week 3 |
January 21 January 23 |
More geometry of hyperbolic plane and introduction to the Cayley graph. |
Week 4 |
January 27 January 28 January 30 |
Examples of Cayley graphs, |
Week 5 |
February 3 February 4 February 6 |
A space quasi-isometric to a hyperbolic space is hyperbolic. |
Week 6 |
February 10 February 11 February 13 |
Group-theoretic consequences of hyperbolicity, |
Week 7 |
February 17 February 18 February 20 |
Gromov product and the boundary of a |
Week 8 |
February 24 February 25 February 27 |
Boundary of a hyperbolic space, continued. |
Week 9 |
March 3 March 6 |
Infinite cyclic subgroups of hyperbolic groups are quasi-geodesicis in the Cayley graph. |
Week 10 |
March 10 March 11 March 13 |
Dynamics of infinite-order elements of hyperbolic groups |