Mathematics 289Z
Fusion Categories as Generalized Symmetries (124745)
Thibault Decoppet2025 Spring (4 Credits)
Schedule: TTH 1030 AM - 1145 AM
Instructor Permissions: None
Enrollment Cap: n/a
Symmetries are classically described by groups. However, it turns out that many objects of interests, in particular, topological field theories, possess symmetries that are “noninvertible”. To capture these generalized symmetries, we are naturally led to the notion of a fusion category. This course will focus on the algebraic theory of fusion categories and the associated higher categorical structures as motivated by the study of topological field theories. Time permitting, we may also discuss applications of these concepts to condensed matter and high energy Physics.
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