Rationality questions for threefolds over the reals
演讲者
Alena Pirutka
时间
2026年05月14日 10:00 至 11:00
地点
A6-101
线上
Zoom 638 227 8222
(BIMSA)
摘要
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.