**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.