Constructible Sheaf and Non-characteristic Deformation of Singular Support
发布时间:2017年07月03日
浏览次数:7800
发布者: He Liu
主讲人: Peng Zhou (Northwestern University)
活动时间: 从 2017-07-11 15:15 到 16:30
场地: 北京国际数学研究中心,全斋全29教室
A constructible sheaf is a `locally-constant' sheaf on a manifold whose stalk can sudden `jump' across certain loci. The singular support of a constructible sheaf is a conical Lagrangian, recording the location and direction of the jump. Our main question is, if we deform the singular support, can we deform the constructible sheaf accordingly? We give some sufficient conditions on the singular support deformation, and discuss some applications to toric homological mirror symmetry.