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Augmentations and sheaves for knot conormals

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Speaker: 
Honghao Gao
Affiliation: 
Institut Fourier, Grenoble
Date: 
Tue, 2018-06-19 14:00 - 15:00
Location: 
MPIM Seminar Room
Parent event: 
Extra talk

Symplectic invariants of the conormal bundle of a knot are knot invariants. We study the relation of two such invariants: the augmentations of the Chekanov-Eliashberg dga, and the microlocal category of simple sheaves. In this talk, I will explain a bijective correspondence between the these invariants, whose underlining geometry is suggested by the Nadler-Zaslow correspondence in mirror symmetry.

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