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

## Magnitude homologyAdd to your list(s) Download to your calendar using vCal - Tom Leinster (University of Edinburgh)
- Tuesday 30 May 2017, 14:15-15:15
- MR5, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Tamara von Glehn. Magnitude homology is a homology theory of enriched categories, proposed by Michael Shulman late last year. For ordinary categories, it is the usual homology of a category (or equivalently, of its classifying space). But for metric spaces, regarded as enriched categories à la Lawvere, magnitude homology is something new. It gives truly metric information: for instance, the first homology of a subset X of R^n detects whether X is convex. Like all homology theories, magnitude homology has an Euler characteristic, defined as the alternating sum of the ranks of the homology groups. Often this sum diverges, so we have to use some formal trickery to evaluate it. In this way, we end up with an Euler characteristic that is often not an integer. This number is called the “magnitude” of the enriched category. In topological settings it is the ordinary Euler characteristic, and in metric settings it is closely related to volume, surface area and other classical invariants of geometry. 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 listsCambridge Italian Research Network Research Reports Events Caius MedSoc Talks - Lent 2016## Other talksTaking control of flowing dense suspensions Steve Kelly (University of Oxford)- Title to be confirmed. G I TAYLOR LECTURE - Title to be confirmed What Sea Ice Physics is Missing from Models? Emotion Nukes of Hazard: Mapping the Risks Emerging Technologies Pose to Nuclear Weapons Modernization |