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SUMMARY:Daping Weng (Michigan State University)
DTSTART:20210112T020000Z
DTEND:20210112T025000Z
DTSTAMP:20260423T005720Z
UID:LCM2021/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LCM2021/30/"
 >Symplectic Structure on Augmentation Varieties</a>\nby Daping Weng (Michi
 gan State University) as part of Legendrians\, Cluster algebras\, and Mirr
 or symmetry\n\nLecture held in POSTECH\, Pohang\, Republic of Korea.\n\nAb
 stract\nIn a recent joint project with H. Gao and L. Shen\, we introduce a
  cluster K2 structure on the augmentation variety of the Chekanov-Eliashbe
 rg dga for the rainbow closure of any positive braid with marked point dec
 orations. This cluster K2 structure defines a holomorphic presymplectic st
 ructure on the complex augmentation variety. Using a result of Goncharov a
 nd Kenyon on surface bipartite graphs\, we prove that this holomorphic pre
 symplectic structure becomes symplectic after we reduce the number of mark
 ed points to a single marked per link component.\n
LOCATION:https://researchseminars.org/talk/LCM2021/30/
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