Title:
Hochschild cohomology of general twisted tensor products
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 the Gerstenhaber 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.