University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Trivalent Categories

Trivalent Categories

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact INI IT.

OASW01 - Structure of operator algebras: subfactors and fusion categories

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. 

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2024 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity