Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Prof. Olivier Debarre, 法国巴黎高师
Rationality of algebraic varieties
Time & Venue:
2018.5.18 15:30-16:30 N920
In algebraic geometry, one says that an algebraic variety X defined over a field K is rational if it is very close to being the affine space Kn. This means that one can parametrize the points of X by Kn, in an almost one-to-one fashion.Deciding whether an algebraic variety, given by polynomial equations, is rational is in general very difficult.I will start with very classical and elementary examples (like the rational parametrization of the circle) and move on to spectacular results obtained recently on the behavior of rationality in a family: given a family (Xt) of algebraic varieties, is the set of t for which Xt is rational open, closed?
Copyright@2008, All Rights Reserved, Academy of Mathematics and Systems Science, CAS
Tel: 86-10-82541777 Fax: 86-10-82541972 E-mail: firstname.lastname@example.org