Number Theory Seminar
Izzet Coskun
UIC
Rational curves on varieties
Abstract: Conjecturally there is a very close connection between the existence of rational points on a variety X and the existence of rational curves and abelian subvarieties on X. In this talk, I will discuss some geometric conditions, such as rationality, unirationality and rational connectedness, that guarantee that X has many rational curves. I will explain some results and questions about rational curves on hypersurfaces and their implications for existence of points over function fields of curves.
Wednesday October 29, 2008 at 2:00 PM in SEO 636