4 papers · 1 filter
Noncommutative tensor triangular geometry: modules, bimodules, and unipotent Hopf algebras
Øyvind Solberg, Kent B. Vashaw, Sarah Witherspoon
We initiate a program aimed at classifying thick ideals, Balmer spectra, and submodule categories of various stable categories of bimodules and modules for finite dimensional selfi…
The homological spectrum for monoidal triangulated categories
Daniel K. Nakano, Kent B. Vashaw, Milen T. Yakimov
The authors develop a notion of homological prime spectrum for an arbitrary monoidal triangulated category, . Unlike the symmetric case due to Balmer, the homological…
Formal extension of noncommutative tensor-triangular support varieties
Merrick Cai, Kent B. Vashaw
Given a support variety theory defined on the compact part of a monoidal triangulated category, we define an extension to the non-compact part following the blueprint of Benson--Ca…
Prime spectra of abelian 2-categories and categorifications of Richardson varieties
Kent Vashaw, Milen Yakimov
We describe a general framework for prime, completely prime, semiprime, and primitive ideals of an abelian 2-category. This provides a noncommutative version of Balmer's prime spec…