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 > Category Theory Seminar > A constructive approach to geometric algebra

## A constructive approach to geometric algebraAdd to your list(s) Download to your calendar using vCal - Achilleas Kryftis, DPMMS
- Tuesday 21 May 2013, 14:15-15:15
- MR5, Centre for Mathematical Sciences.
If you have a question about this talk, please contact Julia Goedecke. In classical geometric algebra, we prove that the synthetic and the projective approaches to the affine and projective planes are equivalent. This classical approach is not entirely constructive and it is based on fields. We will present a constructive version of this based on local rings: we will define what are the projective and affine planes over a given local ring (in a topos), and we will give the geometric theories of projective and affine planes satisfied by these constructions. Moreover, we will show how to construct a local ring given a model of that theory. These constructions induce geometric morphisms between the classifying toposes of the theories of affine and projective planes, and the theory of local rings. 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
- 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 listsMathematics at Work NanoDTC Energy Materials Talks Combined External Astrophysics Talks DAMTP## Other talksBig and small history in the Genizah: how necessary is the Cairo Genizah to writing the history of the Medieval Mediterranean? Single Molecule Spectroscopy Superconformal quantum mechanics and integrability Findings from Studies of Virtual Reality Sketching Replication or exploration? Sequential design for stochastic simulation experiments Uncertainty Quantification with Multi-Level and Multi-Index methods |