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Seminar

DMS Postdoc Seminar: Algebraic structure and topology of homeomorphism groups February 20, 2015 (10:45 AM PST - 11:30 AM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Kathryn Mann (University of California, Berkeley)
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Abstract/Media


To what extent does the algebraic structure of a topological group determine its topology?  Many (but not all!) examples of real Lie groups G have a unique Lie group structure, meaning that every abstract isomorphism G -> G is necessarily continuous.  

In this talk, I'll show a strictly stronger result for groups of homeomorphisms of manifolds: every abstract homomorphism from Homeo(M) to any other separable topological group is necessarily continuous.  

Along the way, I'll introduce some beautiful and classical properties of groups of homeomorphisms.  This talk should be accessible to everyone.  


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