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Three notions of symmetric monoidal 2-category

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If you have a question about this talk, please contact Dr Ignacio Lopez Franco.

The definition of a symmetric monoidal bicategory is long and involved, due to its completely general nature. I will discuss three stricter definitions. The first is that of a quasi-strict symmetric monoidal 2-category due to Chris Schommer-Pries. The second is the logically equivalent, but conceptually different notion of a permutative Gray-monoid. The third notion is that of a permutative 2-category which, while not equivalent to the first two notions, arises naturally in topological applications. This is joint work with Niles Johnson and Ang\’elica Osorno.

This talk is part of the Category Theory Seminar series.

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