REPRESENTATION THEORY AND RELATED TOPICS SEMINAR
ABSTRACT: Recently, there
has been significant interest in the tensor product
property for cohomological support varieties of Hopf
algebras and tensor categories. We will describe a method
for approaching the tensor product property by way of a
noncommutative version of Balmer’s tensor triangular
geometry in the general setting of a monoidal triangulated
category. We prove related properties about the
collections of thick one-sided and two-sided ideals of the
category, and then are often able to use the universal
properties of the Balmer support to obtain applications to
cohomological supports. Examples arising from the
representation theory of Hopf algebras will be discussed
throughout.
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