- Thursday, September 14, 2017
- 3:40 PM–4:30 PM
- North Hall 276
Chris Moseley, Calvin College
If we stretch or squeeze a surface, the topology doesn't change, but the local curvature certainly does. So "topology doesn't care about curvature," and yet there is a deep relation between the two, expressed in the remarkable Gauss-Bonnet theorem. I will explain what geometers mean when they talk about the curvature of a surface, what topologists mean by the "genus" of a surface, and how Gauss-Bonnet connects these two quantities.
Refreshments precede the talk at 3:30 p.m. in NH 282.