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DTSTART;TZID=America/New_York:20251031T120000
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DTSTAMP:20260405T025058
CREATED:20250827T141457Z
LAST-MODIFIED:20251027T151940Z
UID:10003768-1761912000-1761915600@cmsa.fas.harvard.edu
SUMMARY:Skein remain the same
DESCRIPTION:Member Seminar \nSpeaker: Sunghyuk Park\, CMSA \nTitle: Skein remain the same \nAbstract: The count of holomorphic curves in a Calabi-Yau 3-fold ending on a Lagrangian is famously not deformation invariant\, but Ekholm and Shende have shown that it can be made invariant by counting in the skein. Given a 3-manifold M and a branched cover arising from the projection of a Lagrangian 3-manifold L in the cotangent bundle of M\, we use the skein-valued curve count to construct a map from the skein of M to that of L. When M and L are products of surfaces and intervals\, deforming L within the space of Lagrangians yields a skein-valued lift of the Kontsevich-Soibelman wall-crossing formula. After all\, the skeins remain the same. Based on joint work (arXiv:2510.19041) with Tobias Ekholm\, Pietro Longhi\, and Vivek Shende. \n 
URL:https://cmsa.fas.harvard.edu/event/member-seminar-103125/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Member Seminar
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