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Mathematics Colloquium - Fall 2011

Wednesday, November 16th, 2011
2:00pm - 3:00pm, in Science 2-064

Justin Greenough

UMass Boston

Tensor categories and their modules

Abstract: Many classical algebraic structures have higher-dimensional analogues which can be understood from the standpoint of category theory. In particular the theory of rings and modules has a beautiful categorification. In this talk I will discuss categorified versions of structures such as the tensor product and centre, and will show that many familiar classical formulae reappear in the categorified theory.Primary applications will include results in the representation theory of finite groups, and in the theory of categorical group actions.Plans for future research may be discussed.




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