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Mathematics and Statistics Colloquium

  • 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.

September 2017
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