Cosupport and costratification in tt-geometry

This talk will be streamed from HIM.
Contact: Tobias Barthel (tbarthel@mpim-bonn.mpg.de)

This is joint work with Tobias Barthel, Drew Heard, and Beren Sanders.
In this project, we develop the theory of costratification in the context of tensor triangular geometry.
This systematic approach builds on previous work of Barthel-Heard-Sanders (where they develop a
theory of stratification in tensor triangular geometry) and the costratification and cosupport theory
of Benson-Iyengar-Krause for compactly generated triangulated categories with an action of a graded
commutative ring. The cosupport theory constructed is related to the Balmer-Favi support. The goal
is to understand the classification of colocalizing coideals in this context by the Balmer spectrum.