Yuri Tschinkel : Rationality problems

Posted by Kevin Tucker , part of the Algebraic Geometry Seminar.

At

Sept. 19, 2018, 4 p.m.

In

427 SEO

Abstract

A classical theme in algebraic geometry is to determine how far an algebraic variety is from projective space. Several notions have emerged in this context: rationality, stable rationality, unirationality, and rational connectedness. I will discuss new ideas and constructions that emerged in this area and that led to solutions of long-standing open problems.