skip to content

Givental action is gauge symmetry in a homotopy Lie algebra

Presented by: 
V Dotsenko Trinity College Dublin
Thursday 4th April 2013 - 11:00 to 12:00
INI Seminar Room 1
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 vector space possesses an unusually large group of symmetries. I shall explain how that appears naturally as a group of gauge symmetries of Maurer--Cartan elements in a certain homotopy Lie algebra. The existence of that homotopy algebra is still a result of several wonderful coincidences, but somehow I shall explain precisely what coincidences one should be hunting for in order for that sort of phenomena to occur.
The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons