REPRESENTATION THEORY AND RELATED TOPICS SEMINAR
ABSTRACT: Hochschild
cohomology is a tool for studying associative algebras
that has a lot of structure: it is a Gerstenhaber algebra.
This structure is useful because of its applications in
deformation and representation theory, and recently in
quantum symmetries. Unfortunately, computing it remains a
notoriously difficult task. In this talk we will present
techniques that give explicit formulas of its Lie algebra
structure for general twisted tensor product algebras.
This will include an unpretentious introduction to this
cohomology and to our objects of interest, as well as the
unexpected generality of the techniques. This is joint
work with Tekin Karadag, Dustin McPhate, Tolulope Oke, and
Sarah Witherspoon.
For further information visit http://www.northeastern.edu/martsinkovsky/p/rtrt.html or contact Alex Martsinkovsky alexmart >at< neu >dot< edu for meeting number and password