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SUMMARY:Hansol Hong
DTSTART:20201013T090000Z
DTEND:20201013T100000Z
DTSTAMP:20260423T052831Z
UID:Freemath/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/27/
 ">Maurer-Cartan deformation of a Lagrangian</a>\nby Hansol Hong as part of
  Free Mathematics Seminar\n\n\nAbstract\nThe Maurer-Cartan algebra of a La
 grangian is the algebra that encodes the deformation of its Floer complex 
 as an A-infinity algebra. I will give a convenient description of the Maur
 er-Cartan algebra through a natural homological algebra language\, and rel
 ate it with (a version of) Koszul duality for the Floer complex. It helps 
 us to obtain the mirror-symmetry interpretation for the Maurer-Cartan defo
 rmation and its locality in SYZ situation. Namely\, the Maurer-Cartan alge
 bra provides a neighborhood of the point mirror to the Lagrangian\, which 
 varies in size depending on geometric types of Floer generators involved i
 n the deformation.\n
LOCATION:https://researchseminars.org/talk/Freemath/27/
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