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The homotopy bicategory of (∞, 1)-categories

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If you have a question about this talk, please contact Julia Goedecke.

Over the last decade or so, there have been many proposed definitions of (∞, 1)-categories, but there have also been just as many results showing that these definitions give rise to the same homotopy theory, and in particular, the same homotopy category. However, there is also a slightly finer invariant, a 2-category first constructed by Joyal and more recently studied by Riehl and Verity, which captures more of the formal category theory that one can do with (∞, 1)-categories. In this talk, I will recall the construction of this 2-category and explain the sense in which it is theory-independent.

This talk is part of the Category Theory Seminar series.

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