Seminar

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.