COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

## Operads as polynomial 2-monadsAdd to your list(s) Download to your calendar using vCal - Mark Weber (Macquarie University)
- Tuesday 26 April 2016, 14:15-15:15
- MR5, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Dr Ignacio Lopez Franco. In this talk the construction of a polynomial 2-monad from an operad is given which is different from the standard construction of a monad from an operad, in that the algebras of our associated 2-monad are categorified algebras of the original operad. In this way one can characterise operads and clubs as categorical polynomial monads in a canonical way. The standard construction of a monad from an operad is recovered in a 2-categorical way from our associated 2-monad, and one can understand the Set-valued algebras of both as weak morphisms of operads into a Cat-operad of categories. Algebras of operads within general symmetric monoidal categories are easily expressed in our framework, and the associated PROP of an operad is recovered as a codescent object from the polynomial 2-monad data. For a sigma-free operad, we establish a Quillen equivalence with respect to the Lack model structures, between the strict algebras of our associated 2-monad, and those of the standard one. This talk is part of the Category Theory Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- Category Theory Seminar
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Hanchen DaDaDash
- Interested Talks
- MR5, Centre for Mathematical Sciences
- School of Physical Sciences
- bld31
- ndb35's list
- yk373's list
Note that ex-directory lists are not shown. |
## Other listsMillennium Maths Project public and schools' events SciComp@Cam: Scientific Computing in Cambridge Lattice field theory informal seminars## Other talksYikes! Why did past-me say he'd give a talk on future discounting? MEMS Particulate Sensors Dive into the Lives of Flies and Ants Structurally unravelling ATP synthase The potential of the non-state sector:what can be learnt from the PEAS example Polynomial approximation of high-dimensional functions on irregular domains |