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SUMMARY:Honghao Gao (Michigan State University)
DTSTART:20210104T010000Z
DTEND:20210104T020000Z
DTSTAMP:20260423T022722Z
UID:LCM2021/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LCM2021/2/">
 Sheaves in contact topology II</a>\nby Honghao Gao (Michigan State Univers
 ity) as part of Legendrians\, Cluster algebras\, and Mirror symmetry\n\nLe
 cture held in POSTECH\, Pohang\, Republic of Korea.\n\nAbstract\nMicroloca
 l sheaf theory was introduced by Kashiwara-Schapira around 80s. With the n
 otion of micro-support\, one can use sheaves on smooth manifolds to access
  the geometry of their cotangent bundles. In recent years\, microlocal she
 af theory entered contact and symplectic topology\, and has been used to s
 olve open problems. In this lecture series\, we will introduce microlocal 
 sheaf theory in the context of low-dimensional contact topology\, and supp
 ly the audience with background for its applications such as producing non
 -classical invariants for Legendrian knots and distinguishing exact Lagran
 gian fillings.\n\nLecture 2: invariance $\\newline$\nCategory of sheaves\,
  non-classical invariants for Legendrian submanifolds (theorem by Guillerm
 ou-Kashiwara-Schapira)\, combinatorial verification under Reidemeister mov
 es.\n
LOCATION:https://researchseminars.org/talk/LCM2021/2/
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