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Home » DMS Research Seminar: Quasi-isometric rigidity of Teichmuller space

Seminar

DMS Research Seminar: Quasi-isometric rigidity of Teichmuller space May 07, 2015 (10:00 AM PDT - 12:30 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Howard Masur (University of Chicago)
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In the first part of the talk I will introduce the notion of a quasi-isometry between  metric spaces and  what it means for a space to be quasi-isometrically rigid. I will then give some history of this subject starting with Mostow strong rigidity and more recently, rigidity of the mapping class group.    I will then talk about Teichmuller space with the Teichmuller metric and state  some of the known properties of this metric that are useful for studying quasi-isometries.  In the second part of the talk I will discuss a recent joint theorem with Alex Eskin and Kasra Rafi where we prove Teichmuller space is quasi-isometrically rigid.

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