Presented by: 
Alistair Savage, the University of Ottawa
Date: 
Tue 20 Oct, 3:00 pm - 4:00 pm
Venue: 
Building 67, Room 442

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.