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SUMMARY:Honghao Gao (Michigan State University)
DTSTART:20210105T000000Z
DTEND:20210105T010000Z
DTSTAMP:20260423T005732Z
UID:LCM2021/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LCM2021/7/">
 Sheaves in contact topology III</a>\nby Honghao Gao (Michigan State Univer
 sity) as part of Legendrians\, Cluster algebras\, and Mirror symmetry\n\nL
 ecture held in POSTECH\, Pohang\, Republic of Korea.\n\nAbstract\nMicroloc
 al sheaf theory was introduced by Kashiwara-Schapira around 80s. With the 
 notion of micro-support\, one can use sheaves on smooth manifolds to acces
 s the geometry of their cotangent bundles. In recent years\, microlocal sh
 eaf theory entered contact and symplectic topology\, and has been used to 
 solve open problems. In this lecture series\, we will introduce microlocal
  sheaf theory in the context of low-dimensional contact topology\, and sup
 ply the audience with background for its applications such as producing no
 n-classical invariants for Legendrian knots and distinguishing exact Lagra
 ngian fillings.\n\nLecture 3: moduli space of sheaves $\\newline$\nmoduli 
 space of sheaves for elementary tangles\, microlocal rank 1 sheaves\, posi
 tive braid Legendrian knots\, flags and Bott-Samelson cells.\n
LOCATION:https://researchseminars.org/talk/LCM2021/7/
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