Student Arithmetic Geometry Seminar: Etale Homotopy Obstructions for Rational Points Applied to Open Subvarieties

Seminar | February 8 | 4:10-5 p.m. | 891 Evans Hall

 David Corwin, UCB

 Department of Mathematics

Last week, I explained the (etale) Brauer-Manin obstruction and Poonen's counterexample. I also stated my result that the Brauer-Manin obstruction on Zariski open covers is enough to (theoretically) determine the existence of rational points. This week, I will say more about how to prove this result. I will also explain the idea behind the etale homotopy obstruction to the local-global principle and how it sheds new light on the more classical obstructions.