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Texas A&M University

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.