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SUMMARY:Honghao Gao (Michigan State University)
DTSTART:20210104T000000Z
DTEND:20210104T010000Z
DTSTAMP:20260423T005723Z
UID:LCM2021/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LCM2021/1/">
 Sheaves in contact topology I</a>\nby Honghao Gao (Michigan State Universi
 ty) as part of Legendrians\, Cluster algebras\, and Mirror symmetry\n\nLec
 ture held in POSTECH\, Pohang\, Republic of Korea.\n\nAbstract\nMicrolocal
  sheaf theory was introduced by Kashiwara-Schapira around 80s. With the no
 tion of micro-support\, one can use sheaves on smooth manifolds to access 
 the geometry of their cotangent bundles. In recent years\, microlocal shea
 f theory entered contact and symplectic topology\, and has been used to so
 lve open problems. In this lecture series\, we will introduce microlocal s
 heaf theory in the context of low-dimensional contact topology\, and suppl
 y the audience with background for its applications such as producing non-
 classical invariants for Legendrian knots and distinguishing exact Lagrang
 ian fillings.\n\nLecture 1: Legendrian knots and sheaves $\\newline$\nBasi
 cs of Legendrain knots\, sheaves and microsupport\, local conditions at ar
 cs\, cusps\, crossings.\n
LOCATION:https://researchseminars.org/talk/LCM2021/1/
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