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Joint HC & QS Colloquium: The last of the toy models March 02, 2020 (02:00 PM PST - 03:00 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Vaughan Jones (Vanderbilt University)
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This talk concerns the question of whether any subfactor/(category of bimodules) actually comes from a conformal field theory.

The pictures in the planar algebra approach suggest the construction of a continuum limit by letting the boundary points on a disc become dense. This very optimistic idea has had some limited success, creating, for instance, toy models where the Thompson groups play the role of diffeomorphism groups. I will discuss these toy models leading up to the most recent where one constructs a limit algebra rather than a Hilbert space. A standard decomposition of the algebra shows how one can at least obtain a continuum object with diffeomorphisms acting continuously. But this ultimately only turns the question into that of finding the right state on this algebra.

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