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Lie Group Quantum Mathematics Seminar

A categorification of cyclotomic integers at non-prime orders

Robert Laugwitz, Rutgers University

Location:  Hill 705
Date & time: Friday, 27 April 2018 at 12:00PM - 1:00PM

  • Abstract:   I am reporting on recent joint work with You Qi (Caltech). Using the framework of Hopfological algebra, developed by Khovanov-Qi, and used by Elias-Qi to categorify versions of quantum mathfrak{sl}_2 at a prime root of unity, we construct a monoidal triangulated category whose Grothendieck ring is isomorphic to the ring of cyclotomic integers. The construction removes the restriction that the order has to be a prime number as required in the original work of Khovanov.

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