Birational geometry and algebraic cycles

Speaker: 
Burt Totaro
Date: 
Fri, Sep 14, 2018
Location: 
PIMS, University of British Columbia
Conference: 
PIMS-UBC Math Department Colloquium
Abstract: 
A fundamental problem of algebraic geometry is to determine which algebraic varieties are rational, that is, isomorphic to projective space after removing lower-dimensional subvarieties from both sides. We discuss the history of the problem. Some dramatic progress in the past 5 years uses a new tool in this context: the Chow group of algebraic cycles.