Seminars and Colloquia by Series
Monday, August 14, 2017 - 14:11 , Location: Skiles 006 , Albert Fathi , Georgia Tech , Organizer: Dan Margalit
We will give different topological very simple statements that seem not to have been noticed, although they are of the level of Brouwer’s fixed point theorem. The main result is: Let F be a compact subset of the manifold M. Assume g:F->M is a continuous map which is the identity on the boundary (or frontier) of F, then the image f(F) contains either F or M\F.
Monday, August 7, 2017 - 14:05 , Location: Skiles 006 , Ingrid Irmer , University of Melbourne , Organizer: Stavros Garoufalidis
Friday, July 7, 2017 - 10:30 , Location: Skiles 006 , Nick Vlamis , Michigan , Organizer: Justin Lanier
There has been a recent interest in studying surfaces of infinite type, i.e. surfaces with infinitely-generated fundamental groups. In this talk, we will focus on their mapping class groups, often called big mapping class groups. In contrast to the finite-type case, there are many open questions regarding the basic algebraic and topological properties of big mapping class groups. I will discuss several such questions and provide some answers. In particular, I will discuss automorphism groups of mapping class groups as well as relations between topological invariants of a surface and algebraic invariants of its mapping class group. The results in the talk are based on recent joint work with Priyam Patel and ongoing joint work with Javier Aramayona and Priyam Patel.