![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Martin Hyland, University of Cambridge
Tuesday 16 February 2010, 14:15-15:45
2-Monads for Differential Calculus
- 👤 Speaker: Martin Hyland, University of Cambridge
- 📅 Date & Time: Tuesday 16 February 2010, 14:15 - 15:45
- 📍 Venue: MR9, Centre for Mathematical Sciences
Abstract
One approach to algebra from an advanced standpoint is based on Kleisli bicategories. Various flavours of substitution are captured by suitable 2-monads. This point of view has many applications. In this talk based on joint work with Christine Tasson I present an application to the substitutions needed to support the Ehrhard-Regnier differential lambda calculus. For that one needs to combine the free symmetric monoidal category 2-monad with the 2-monad for finite products. Known combinations (via distributive laws, tensor or sum) are of no help. I shall establish the existence of a general colimit construction on 2-monads, which does produce the desired 2-monad
Series This talk is part of the Category Theory Seminar series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- Category Theory Seminar
- CMS Events
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Hanchen DaDaDash
- Interested Talks
- MR9, Centre for Mathematical Sciences
- ndb35's list
- School of Physical Sciences
- yk373's list
Note: Ex-directory lists are not shown.