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Quantum Algebra/Quantum Topology Seminar - Peter Huston

Quantum Algebra & Quantum Topology Seminar
October 17, 2019
1:50PM - 2:50PM
Cockins Hall 240

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Add to Calendar 2019-10-17 13:50:00 2019-10-17 14:50:00 Quantum Algebra/Quantum Topology Seminar - Peter Huston Title: Nets of Categories Speaker: Peter Huston - The Ohio State University Abstract: Various constructions in physics construct a tensor category from local algebraic data, such as the DHR category associated to a net of algebras in relativistic quantum field theory, or the modular tensor category associated to a topological phase of matter. Nets of categories are a general framework for understanding the construction of a tensor category from local information. We will motivate the notion of a net of categories and explore how the data of a tensor category can be extracted from a suitable net of categories. We will also draw connections between the coherence theory of nets of categories and configuration spaces. Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public

Title: Nets of Categories

Speaker: Peter Huston - The Ohio State University

Abstract: Various constructions in physics construct a tensor category from local algebraic data, such as the DHR category associated to a net of algebras in relativistic quantum field theory, or the modular tensor category associated to a topological phase of matter. Nets of categories are a general framework for understanding the construction of a tensor category from local information. We will motivate the notion of a net of categories and explore how the data of a tensor category can be extracted from a suitable net of categories. We will also draw connections between the coherence theory of nets of categories and configuration spaces.

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