Arithmetic Geometry and Number Theory RTG Seminar: Dominating varieties by liftable ones

Seminar | October 23 | 3:10-5 p.m. | 891 Evans Hall

 Remy van Dobben de Bruyn, Columbia University

 Department of Mathematics

Given a smooth projective variety over an algebraically closed field of positive characteristic, can we always dominate it by another smooth projective variety that lifts to characteristic 0? We give a negative answer to this question.

Seminar Format: The seminar consists of two 50-minute talks, a pre-talk (3:10-4:00) and an advanced talk (4:10-5:00), with a 10-minute break (4:00-4:10) between them. The advanced talk is a regular formal presentation about recent research results to general audiences in arithmetic geometry and number theory; the pre-talk (3:10-4:00) is to introduce some prerequisites or background for the advanced talk to audiences consisting of graduate students.