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Quantum Algebra/Quantum Topology Seminar- Andrew Schopieray

Quantum Algebra & Quantum Topology Seminar
November 7, 2019
1:50PM - 3:00PM
Cockins Hall 240

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Add to Calendar 2019-11-07 13:50:00 2019-11-07 15:00:00 Quantum Algebra/Quantum Topology Seminar- Andrew Schopieray Title: Quadratic d-numbers and categorical dimensions Speaker: Andrew Schopieray - MSRI Abstract: In the context of conformal field theory, Moore and Seiberg claimed the study of modular tensor categories "should be viewed as a generalization of group theory". In this analogy the order of the group is the category's dimension, now taking values outside the natural numbers, which begs the question: what is the set of possible dimensions? This question is almost entirely open, but we provide a partial solution in the case the dimension lies in a quadratic extension of the rational numbers. Despite being a major source of open research questions, this material will be approachable to anyone with modest knowledge of undergraduate algebra. Seminar Link Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: Quadratic d-numbers and categorical dimensions

Speaker: Andrew Schopieray - MSRI

Abstract: In the context of conformal field theory, Moore and Seiberg claimed the study of modular tensor categories "should be viewed as a generalization of group theory". In this analogy the order of the group is the category's dimension, now taking values outside the natural numbers, which begs the question: what is the set of possible dimensions? This question is almost entirely open, but we provide a partial solution in the case the dimension lies in a quadratic extension of the rational numbers. Despite being a major source of open research questions, this material will be approachable to anyone with modest knowledge of undergraduate algebra.

Seminar Link

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