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New Invariants for Tensor-Triangulated Categories

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Scott Balchin
Thu, 2021-11-18 15:00 - 16:00
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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.

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