Seminar in Real and Complex Geometry

Thursday, March 18, 2021, 16:00-17:30, online (via zoom)




Olivier Benoist
(École Normale Supérieure, Paris)

Rational curves on real algebraic varieties


Abstract
             
Let X be a smooth projective real algebraic variety. When is it possible to approximate loops in the real locus X(R) by real loci of rational curves on X? In this talk, I will provide a positive answer for a class of varieties that includes cubic hypersurfaces and compactifications of homogeneous spaces under connected linear algebraic groups. This is joint work with Olivier Wittenberg.