Hello everyone,

Tomorrow we will have topology seminar at 3:00 pm in the 405/423 classroom. The title and abstract are below:

Title: A local to global argument on low dimensional manifolds

Speaker: Sam Nariman, Northwestern

Date: Nov 28, 2017

Time: 3:00 PM

Room: MSCS 423

Abstract: We describe a local to global method by cutting a manifold into simpler pieces in a ”contractible spaces of choices”. In doing so, we give a simpler approach to Thurston’s theorem on homeomorphisms, Cerf’s theorem on comparing diffeomorphisms and homeomorphisms of three manifolds. If time permits I will describe how this approach could possibly give a different proof of Smale’s conjecture (Gabai’s theorem) for hyperbolic 3 manifold M which says that the group Isom(M) is homotopy equivalent to Diff(M). (Note the special day.)

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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman