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

## Multivariable adjunctions and matesAdd to your list(s) Download to your calendar using vCal - Eugenia Cheng, Sheffield
- Tuesday 28 February 2012, 14:15-15:00
- MR5, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Julia Goedecke. In this talk I will present the notion of ``cyclic double multicategory’’, as a structure in which to organise multivariable adjunctions and mates. The most common example of a 2-variable adjunction is the hom/tensor/cotensor trio of functors; we generalise this situation to $n+1$ functors of $n$ variables. Furthermore, we generalise the mates correspondence, which enables us neatly to pass between natural transformations involving left adjoints and those involving right adjoints. While the standard mates correspondence is elegantly described using an isomorphism of double categories, the multivariable version needs the framework of ``double multicategories’’. Moreover, we show that the analogous isomorphisms of double multicategories give a cyclic action on the multimaps, yielding the notion of ``cyclic double multicategory’’. This is joint work with Nick Gurski and Emily Riehl, and is motivated by and applied to Riehl’s approach to algebraic monoidal model categories. 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
- MR5, Centre for Mathematical Sciences
- School of Physical Sciences
Note that ex-directory lists are not shown. |
## Other listsEnvironment on the Edge Lecture Series Stokes Society, Pembroke College Mongolia & Inner Asia Studies Unit Seminar Series## Other talksHow to Get the Most Out of Modern Peer Review men need help too Pre-sheaves of spaces and the Grothendieck construction in higher geometry TBC Introduction Lies, Damn'd lies and statistics: why it is (almost) impossible to communicate risk ethically |