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Noncommutative Balmer spectra and structure of monoidal triangulated categories

Recent Developments in Noncommutative Algebraic Geometry April 08, 2024 - April 12, 2024

April 08, 2024 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Milen Yakimov (Northeastern University)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Noncommutative Balmer spectra and structure of monoidal triangulated categories

Abstract

Many settings in representation theory, algebraic geometry and mathematical physics lead to monoidal triangulated categories which are generally nonsymmetric. We will present a study of their noncommutative Balmer spectra, which includes a classification of all thick ideals and a generalized Carlson's connectedness theorem. The cohomological and Balmer support maps will be linked via a notion of categorical center of the cohomology ring of a monoidal triangulated category. This is a joint work with Dan Nakano and Kent Vashaw.

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Noncommutative Balmer spectra and structure of monoidal triangulated categories

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