## Student Working Seminar in Groups and Dynamics

**Date:** September 11, 2019

**Time:** 1:00PM - 2:00PM

**Location:** BLOC 628

**Speaker:** Krzysztof Święcicki

**Title:** *A Brief Introduction to 3 Dimensional 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.