Polynomial and Analytic Functors and Monads, revisited.
- đ¤ Speaker: Marek Zawadowski (University of Warsaw)
- đ Date & Time: Wednesday 16 September 2015, 14:15 - 15:15
- đ Venue: MR4, Centre for Mathematical Sciences
Abstract
I will report on joint work with S. Szawiel from the paper with the same title. The aim of this work is to provide (yet another) abstract setup for polynomial and analytic functors and monads in some contexts where they were already considered. It will be shown that polynomial and analytic functors typically arise as representations of Kleisli and Eilenberg-Moore monoidal objects for a (symmetrization) monad on an object of `signatures’. Passing to the monoids we obtain polynomial and analytic monads. This can be even further extended to actions.
Series This talk is part of the Category Theory Seminar series.
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Marek Zawadowski (University of Warsaw)
Wednesday 16 September 2015, 14:15-15:15