Constructible Sheaf and Non-characteristic Deformation of Singular Support
Time: 2017-07-03
Published By: He Liu
Speaker(s): Peng Zhou (Northwestern University)
Time: 15:15-16:30 July 11, 2017
Venue: Room 29, Quan Zhai, BICMR
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.
