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SUMMARY: Geometry of moduli spaces of rational curves - Professor Aise Joh
 an de Jong (Columbia)
DTSTART:20080205T170000Z
DTEND:20080205T180000Z
UID:TALK8785@talks.cam.ac.uk
CONTACT:Helen Innes
DESCRIPTION:Recently Graber\, Harris and Starr proved that any family of r
 ationally connected projective varieties over a smooth curve has a section
 . A complex projective variety (or manifold) M is rationally connected whe
 n every two points in M lie on a rational curve in M.  We will explain a g
 eneralization of this result\, joint with Jason Starr\, to the case when t
 he base of the family is a surface. We will mention the analogy with\nTsen
 's theorem and the connection with the period-index problem for Brauer gro
 ups.\n\n\n\n
LOCATION:Wolfson Room (MR 2) Centre for Mathematical Sciences\, Wilberforc
 e Road\, Cambridge
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