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SUMMARY:Daping Weng (Michigan State University)
DTSTART:20210126T160000Z
DTEND:20210126T170000Z
DTSTAMP:20260423T021140Z
UID:OCAS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OCAS/16/">Sy
 mplectic Structures on Augmentation Varieties</a>\nby Daping Weng (Michiga
 n State University) as part of Online Cluster Algebra Seminar (OCAS)\n\n\n
 Abstract\nIn a recent joint project with H. Gao and L. Shen\, we introduce
  a cluster K2 structure on\nthe augmentation variety of the Chekanov-Elias
 hberg dga for the rainbow closure of any positive\nbraid with marked point
  decorations. This cluster K2 structure naturally equips the complex\naugm
 entation variety with a holomorphic presymplectic 2-form. Using a result o
 f Goncharov and\nKenyon on surface bipartite graphs\, we prove that this h
 olomorphic presymplectic 2-form becomes\nsymplectic after we reduce the nu
 mber of marked points to a single marked per link component (plus\nsome mo
 dification).\n
LOCATION:https://researchseminars.org/talk/OCAS/16/
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