Seminars & Colloquia Calendar

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Graduate Algebra and Representation Theory Seminar

Hopfological algebra and categorification at prime roots

Robert Laugwitz - Rutgers University

Location:  Hill 525
Date & time: Wednesday, 25 April 2018 at 12:00PM - 1:00PM

Abstract: In 2005, Khovanov suggested to study stable categories of modules over a Hopf algebra in order to categorify quantum groups at a root of unity. This theory, Hopfological algebra, was further developed by You Qi in the 2010s. For a prime root of unity, this construction leads to categorifications of the cyclotomic integers (at root order p), as well as the small and big quantum group of sl2 (work of Khovanov--Qi, Elias--Qi). This talk provides background for the talk on Friday in the Lie Groups/Quantum Math Seminar. I will talk about aspects of the theory that will only be mentioned briefly on Friday.


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