SMS scnews item created by Oded Yacobi at Wed 21 Oct 2015 0908
Type: Seminar
Distribution: World
Expiry: 28 Oct 2015
Calendar1: 23 Oct 2015 1200-1300
CalLoc1: Carslaw 375
CalTitle1: A general approach to Heisenberg categorification
Auth: oyacobi@p637.pc (assumed)

Algebra Seminar

A general approach to Heisenberg categorification

Alistair Savage (Ottawa)

Friday 23 Oct, 12-1pm, Place: Carslaw 375

Abstract: The Heisenberg algebra plays a vital role in many areas of mathematics and physics. In this talk, we will discuss a general method for categorifying this algebra. That is, we introduce a family of categories, depending on a Frobenius superalgebra B, whose Grothendieck groups are isomorphic to the Heisenberg algebra. The categories are graphical in nature, consisting of planar diagrams modulo local relations, and they act naturally on the category of finitely generated projective modules over wreath product algebras corresponding to B. Appropriate specializations of B recover results of Khovanov and Cautis-Licata. This is joint work with Daniele Rosso.

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