Fusion categories and braid groups


Hans Wenzl

University of California, San Diego

Northeastern University

Thursday, May 8, 2003


Talk at 4:30 p.m. in 511 Lake Hall

Tea at 4:00 p.m. in 544 Nightingale Hall


Abstract:   There exists a rather complicated tensor product for representations of loop groups, usually referred to as fusion. We describe some of its connections with operator algebras and combinatorics. In particular, one obtains representations of braid groups which can be used for decomposing tensor products. This generalization of Schur-Weyl duality has applications e.g. for the classification of tensor categories via their Grothendieck semiring.


Here are some directions to Northeastern University. Lake Hall and Nightingale Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street. The two halls are connected, with no well-defined boundary in between. In particular, 509 Lake Hall is on the same corridor as 544 Nightingale Hall.

There is free parking available for people coming to the Colloquium at Northeastern's visitor parking (Rennaisance Garage). The entrance is from Columbus Avenue. If coming by car, you should park there and take the parking talon. After the lecture, you may pick up the payment coupon from Maxim Braverman.

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Posted:: May 1, 2003    URL: