MATH Seminar
| Title: Quadratic forms over the rational function field of a field having cohomological dimension 1 |
|---|
| Seminar: Algebra and number theory |
| Speaker: David Leep of University of Kentucky |
| Contact: R. Parimala, parimala@mathcs.emory.edu |
| Date: 2011-11-01 at 3:00PM |
| Venue: MSC E406 |
| Download Flyer |
| Abstract: In 2003, Colliot-Thelene and Madore constructed a system of two quadratic forms in 5 variables defined over a field of cohomological dimension 1 having no nontrivial common zero lying in the field. This gave the first counterexample to a claim Armand Brumer made in a 1978 paper. I will briefly explain their counterexample, then greatly generalize the counterexample using techniques from the algebraic theory of quadratic forms, and then give a far simpler proof for the wider class of counterexamples. |
See All Seminars