## Surfaces with Density, Isoperimetric Problems, and Perelman's Proof of the Poincaré Conjecture |

**Frank Morgan**

Williams College

September 22, 2009

4:30 pm

Bailey Hall 207

Refreshments will be served in Bailey Hall 204 at 4:15

A density on a surface, just as in freshman physics, is just a positive function, used to weight perimeter and area. The isoperimetric problem seeks to enclose given (weighted) area with least (weighted) perimeter. All of these ideas came together in Perelman's proof of the Poincaré Conjecture. No prerequisites.

For additional information, send e-mail to math@union.edu or call (518) 388-6246.

Union College Math Department Home PageComments to: math@union.edu Created automatically on: Sun Jan 21 03:48:25 EST 2018 |