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

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Cubes, comonads, and calculus

## Cubes, comonads, and calculusAdd to your list(s) Download to your calendar using vCal - Kathryn Hess (EPFL - Ecole Polytechnique Fédérale de Lausanne)
- Wednesday 19 June 2024, 09:30-10:30
- External.
If you have a question about this talk, please contact nobody. TRHW02 - International Conference Abstracting the framework common to most flavors of functor calculus, one can define a calculus on a category M equipped with a distinguished class of weak equivalences to be a functor that associates to each object x of M a tower of objects in M that are increasingly good approximations to x, in some well defined, Taylor-type sense. This definition dualizes in an obvious sense, giving rise to the notion of a cocalculus. Such (co)calculi can be applied, for example, to testing whether morphisms in M are weak equivalences.In this talk, after making the definition above precise, I will describe machines for creating (co)calculi on functor categories Fun (C,M), naturally in both the source C and the target M. The naturality of this construction makes it possible to compare both different types calculi on the same functor category, as well as the same type of calculus on different functor categories. I will briefly sketch a few examples. The key mechanism in the calculus machine is the natural construction of a comonad on a functor category Fun (D,M) from a cubical family of commuting localizations of D, and dually for the cocalculus machine. (Joint work with Brenda Johnson and with Kristine Bauer, Robyn Brooks, Julie Rasmusen, and Bridget Schreiner.) This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- External
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsCavendish Research Day 2018 European Research Group How to Rank Higher On Google In 2021 - Pr Flare## Other talksIntroductions Active Particles Learning Functionalities Studies of the reionization-era intergalactic and circumgalactic media using cosmological simulations Control of cell fate specification and physiological maturation in the human brain by the lipid phosphatase OCRL Morning Coffee Mohammad Farhat on the Earth and the Moon |