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Profunctors - An Introduction

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If you have a question about this talk, please contact Sean Moss.

Profunctors are to functors what relations are to functions. I will define the bicategory of profunctors, show how Cat can embed into it, and how it is equivalent to the comma category Cat/2. We shall also see how every functor has a right adjoint as a profunctor.

This talk will be very elementary, and prior knowledge of Kan extensions is helpful but not entirely necessary.

This talk is part of the Junior Category Theory Seminar series.

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