January 2014 February 2014 March 2014 Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa Su Mo Tu We Th Fr Sa 1 2 3 4 1 1 5 6 7 8 9 10 11 2 3 4 5 6 7 8 2 3 4 5 6 7 8 12 13 14 15 16 17 18 9 10 11 12 13 14 15 9 10 11 12 13 14 15 19 20 21 22 23 24 25 16 17 18 19 20 21 22 16 17 18 19 20 21 22 26 27 28 29 30 31 23 24 25 26 27 28 23 24 25 26 27 28 29 30 31 |

4:00 pm Monday, February 24, 2014 Topology Seminar: Surface groups, representation spaces, and rigidityby Katie Mann (University of Chicago) in HB 427- Let S_g denote the closed, genus g surface. In this talk, we'll discuss the space of flat circle bundles over S_g, Hom(pi_1(S_g), Homeo+(S^1)). The Milnor-Wood inequality gives a lower bound on the number of components of this space (4g-3), but until very recently it was not known whether this bound was sharp. In fact, we still don't know whether the space has infinitely many components! I'll report on recent work and new tools to understand Hom(\pi_1(S_g), Homeo+(S^1)). In particular, I use dynamical methods to give a new lower bound on the number of its components, and show that certain geometric bundles are surprisingly rigid.
Submitted by andyp@rice.edu |