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SUMMARY:Lenhard L. Ng (Duke University)
DTSTART:20210111T010000Z
DTEND:20210111T015000Z
DTSTAMP:20260423T005654Z
UID:LCM2021/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LCM2021/25/"
 >Infinitely many fillings through augmentations</a>\nby Lenhard L. Ng (Duk
 e University) as part of Legendrians\, Cluster algebras\, and Mirror symme
 try\n\nLecture held in POSTECH\, Pohang\, Republic of Korea.\n\nAbstract\n
 In 2020\, a few groups of people proved that certain Legendrian links in R
 ^3 have infinitely many exact Lagrangian fillings that are distinct under 
 Hamiltonian isotopy. These groups (Casals-Gao\, Gao-Shen-Wang\, Casals-Zas
 low) used a variety of approaches involving microlocal sheaf theory and cl
 uster structures. I'll describe a different\, Floer-theoretic approach to 
 the same sort of result\, using integer-valued augmentations of Legendrian
  contact homology\, and I'll discuss some examples that are amenable to th
 e Floerapproach but not (yet?) the other approaches. This is joint work wi
 th Roger Casals.\n
LOCATION:https://researchseminars.org/talk/LCM2021/25/
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