Rational connectivity and points on varieties

Mon, 31/01/2011
16:00
Frank Gounelas (Oxford) Junior Number Theory Seminar Add to calendar SR1
The main aim of this talk will be to present a proof of the Tsen-Lang theorem on the existence of points on complete intersections and sketch a proof of the Grabber-Harris-Starr theorem giving the existence of a section to a fibration of a rationally connected variety over a curve. Time permitting, recent work of de Jong and Starr on rationally simply connected varieties will be discussed with applications to the number theory of hypersurfaces.