David Dumas
University of Illinois at Chicago
Spring 2017
Instructor | David Dumas (david@dumas.io) |
---|---|
Lectures | Tue & Thu, 3:30–4:45pm in Taft Hall 300 |
CRN | 39674 |
Office hours | Mon & Thu 2–3pm |
Note: No office hours on Monday March 27 | |
Texts | F. Labourie, Lectures on Representations of Surface Groups. European Mathematical Society, 2013. ISBN 978-3-03719-127-9 PDF / Purchase from AMS / Not available on Amazon / Not in UIC library |
After that, we will branch out and consider some special classes of surface group representations with nice geometric properties, such as representations in SL(2,R) coming from hyperbolic structures, representations in SL(2,C) associated to complex projective structures and to bending deformations of surfaces in hyperbolic 3-space, and representations in SL(3,R) associated to convex real projective structures. The idea of studying these examples is to see how some general phenomena play out in these concrete situations, and also to discuss the unique features of each one.
The presentations will be held in three sessions: