November 7, 2019
1:50PM - 3:00PM
Cockins Hall 240
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2019-11-07 14:50:00
2019-11-07 16:00:00
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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
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.