Rationality questions for threefolds over the reals
Organizers
Speaker
Alena Pirutka
Time
Thursday, May 14, 2026 10:00 AM - 11:00 AM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
Recently there has been a lot of progress in understanding rationality properties of algebraic varieties over algebraically closed and some non closed fields. In this talk we will discuss rationality properties for real threefolds with connected real locus. Our examples are certain real threefolds fibered in quadric surfaces over the real projective line, or threefolds fibered in conics over the real projective plane, for which the so-called intermediate jacobian technique gives no obstruction to rationality. We will use Brauer groups and higher analogues, properties of zero-cycles, and rigidity methods over non-closed fields.