Back to Algebraic Geometry Seminar: Fall 2012
Algebraic Geometry Seminar
Date: Tuesday, Oct 23, 2012
Time: 3:30PM - 4:30PM
Location: JTB 120
Zhiyu Tian
California Institute of Technology
Title |
Extremal rays, Gromov-Witten invariants, and rationally connected varieties |
Abstract |
This work is motivated by Kollár’s conjecture on symplectic deformation invariance of rational connectedness and “symplectic birational geometry”. I will discuss some simple observations which seem to suggest that extremal rays of the Mori cone deform together with the deformation of the variety as a symplectic manifold. In some special cases, one can use these observations to prove that the maximal rationally connected quotient of a variety is a symplectic deformation invariant, a stronger version of Kollár’s original conjecture. |
Algebraic Geometry