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Trivalent Categories

Presented by: 
Noah Snyder Indiana University
Friday 27th January 2017 - 13:30 to 14:30
INI Seminar Room 1
If N < M is a 2-supertransitive subfactor, then the N-N bimodule M splits up as N \oplus X for some simple bimodule X. This bimodule X has sime nice properties, for example the multiplication map on M restricts to a map X \otimes X \rightarrow X. I’ll discuss work with Scott Morrison and Emily Peters where we classify what other ways you can have a bimodule with such a multiplication map which don’t come from a subfactor. The techniques are planar algebraic and involve the discharging argument used in the proof of the 4-color theorem. 
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons