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SUMMARY:Givental action is gauge symmetry in a homotopy Lie algebra - Dots
 enko\, V (Trinity College Dublin)
DTSTART:20130404T100000Z
DTEND:20130404T110000Z
UID:TALK44349@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In this talk\, I shall explain the mystery of hypercommutative
  algebras (=genus 0 cohomological field theories): it has been known for a
  while that the space of hypercommutative algebra structures on a given ve
 ctor space possesses an unusually large group of symmetries. I shall expla
 in how that appears naturally as a group of gauge symmetries of Maurer--Ca
 rtan elements in a certain homotopy Lie algebra. The existence of that hom
 otopy algebra is still a result of several wonderful coincidences\, but so
 mehow I shall explain precisely what coincidences one should be hunting fo
 r in order for that sort of phenomena to occur. \n\n
LOCATION:Seminar Room 1\, Newton Institute
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