Student Working Seminar in Groups and Dynamics
Date: September 18, 2019
Time: 1:00PM - 2:00PM
Location: BLOC 628
Speaker: Krzysztof Święcicki
Title: 3-Manifolds
Abstract: In his celebrated work from 2003, Perelman finished the proof of Poincare conjecture in dimension 3. His result is in fact far stronger and implies Thurston's geometrization conjecture, which classifies possible geometric structures on 3 manifolds. I'll give an overview of the result and introduce all eight basic geometries and their connection to group theory. I won't assume any knowledge outside of basic topology, so any newcomers are welcome.