**UM Math Graduate Students Seminar**

Carlos Vega

*University of Miami*

**will present**

**The Gromov-Hausdorff Topology: Taking Limits of Riemannian Manifolds **

Friday, November 11, 2011, 4:00pm

Ungar Building Room 402

**Abstract:**It is a natural question, which arises in practice, to ask how one might take the limit of a sequence of Riemannian manifolds. Several notions of convergence have been developed, but we will focus on the Gromov-Hausdorff topology. After a brief motivation, including that of the Ricci flow, we will focus on getting a feel for the Gromov-Hausdorff distance by working out some basic examples and results. Time permitting, we will discuss alternative notions of convergence and the pros and cons of each.

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