Constructible Sheaf and Non-characteristic Deformation of Singular Support
主 题: Constructible Sheaf and Non-characteristic Deformation of Singular Support
报告人: Peng Zhou (Northwestern University)
时 间: 2017-07-11 15:15 - 2017-07-11 16:30
地 点: Room 29, Quan Zhai, BICMR
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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?<\/span>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.<\/span> \n<\/div>
