## The path from Euclid's geometry to differential geometry |

**Hal Sadofsky**

University of Oregon

May 23, 2011

4:30 pm

Bailey 207

Refreshments will be served in Bailey 204 at 4:15

I'll review (a version of) Euclid's axioms (postulates) for plane geometry. We'll then discuss the end of the 2000 year search for a proof of the parallel postulate (by discovery of counterexamples in the 19th century). We'll describe these counterexamples explicitly and then introduce the basic idea of differential geometry. We'll end with a description of the Uniformization Theorem (which inspired an eventually successful approach to the Poincare Conjecture). The only prerequisite for this lecture is a basic familiarity with plane geometry. At one or two points, some calculus might also be helpful.

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: Tue Oct 23 06:46:46 EDT 2018 |