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Segal-type models of higher categories

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If you have a question about this talk, please contact Paul Taylor.

Abstract: Higher categorical structures find applications to diverse areas, such as homotopy theory, mathematical physics, logic and computer science, algebraic geometry. I will start this talk with an introduction to higher categories and to some of their connections with homotopy theory. I will then discuss a class of higher categories, called Segal-type models of weak n-categories, which are based on the combinatorics of multi-simplicial sets. This comprise the Tamsamani-Simpson model, as well as two new models which I have introduced, based on a new paradigm to weaken higher categorical structures.

This talk is part of the Theoretical computer science seminar series.

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