Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Scott Balchin
Affiliation:

MPIM
Date:

Thu, 18/11/2021 - 15:00 - 16:00 For zoom details please contact Christian Kaiser (kaiser@mpim-bonn.mpg.de).

A tensor-triangulated category (tt-category) can be thought of as a "categorification" of a ring. In particular, one can assign to any tt-category a topological space which plays the role of the Zariski spectrum of a ring. In this talk I will describe how this space can be constructed using classical lattice theoretic techniques, before reporting on joint work with Greg Stevenson where we use similar techniques to produce a finer invariant of badly-behaved tt-categories.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/158