Follow up workshop: Low Dim. Geometry & Topology Symposium

21 - 23 October 2008

Mini-workshop: Dynamics on character varieties

Organisers: Caroline Series and Saul Schleimer

This mini-workshop is a follow up to the Low Dimensional Geometry and Topology WARWICK EPSRC SYMPOSIUM 2006/2007. The central theme will be different approaches to, and interpretations of, the Markoff tree of traces of simple curves on a once punctured torus.

Tuesday 21 Oct 08, Room B3.02, 1pm--6pm
1pm - 2pm Anne Thomas (Cornell): Lattices acting on Platonic polygonal complexes and Fuchsian buildings. [Joint with Algebra Seminar]
2pm - 3pm Jack Button (Cambridge): The Bowditch conjecture and the Markoff conjecture
3:00 - 3:30 TEA
3:30 - 4:30 Serge Cantat (Rennes), Lecture 1: Holomorphic dynamics and character varieties
4:30 - 5:30 Anthony Manning: Curves of fixed points of trace maps
7:00 pm Workshop dinner: Harringtons, Kenilworth

Wednesday 22 Oct 08, Room B1.01, 1pm--5pm
1:30 - 2:30 Serge Cantat (Rennes), Lecture 2: Holomorphic dynamics and character varieties
2:30 - 3:30 Brian Bowditch: Coarse models of hyperbolic three-manifolds
3:30 - 4pm TEA
4pm - 5pm Jeroen Lamb (Imperial): On the dynamics of trace maps motivated by nonlinear Schrodinger equations on aperiodic chains

Thursday 23 Oct 08, Room D1.07, 1pm--6pm
2pm - 3pm Ser Peow Tan (Singapore): Dynamics of the modular group action on the set of characters preserving a hyperbolic plane
3pm - 4pm TEA + Discussion
4pm - 5pm Caroline Series: Pleating varieties and the discreteness problem

Limited funds are available for UK travel and subsistence.