MATH Seminar

Title: Totaro's Question for Tori of Low Rank
Seminar: Algebra
Speaker: Reed Sarney of Emory University
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2016-04-19 at 4:00PM
Venue: W304
Download Flyer
Abstract: Let k be a field, let G/k be a smooth connected linear algebraic group, and let X be a G-torsor over k. Generalizing a question of Serre, Totaro asked if the existence of a zero-cycle on X of degree d greater than or equal to 1 implies the existence of closed etale point on X of degree dividing d. This question is entirely unexplored in the literature for algebraic tori. We settle Totaro's question affirmatively for algebraic tori of rank less than or equal to 2.