## Seminar:

Spring 2015, Thursdays, Blocker 506A, 4:00-4:50 PM
__ Date:__ ** January 29 **

**" Hochschild Cohomology of Twisted Tensor Products "**

**Lauren Grimley**

__Abstract__The Hochschild cohomology of an associative algebra over a field has a cup product and graded Lie bracket which satisfy a certain compatibility condition, making it a Gerstenhaber algebra. Given two graded associative algebras, we can define the twisted tensor product to be the usual tensor product as a vector space but with multiplication involving a twisting coefficient. In this talk, we will investigate the structure of the Hochschild cohomology ring of the twisted tensor product of two graded associative algebras, one of which is finite dimensional, focusing on the Gerstenhaber algebra structure of a particular subalgebra. All necessary definitions and development will be given. This is joint work with Van C. Nguyen and Sarah Witherspoon.