![[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)
Achilleas Kryftis, DPMMS
Tuesday 21 May 2013, 14:15-15:15
A constructive approach to geometric algebra
- đ¤ Speaker: Achilleas Kryftis, DPMMS
- đ Date & Time: Tuesday 21 May 2013, 14:15 - 15:15
- đ Venue: MR5, Centre for Mathematical Sciences
Abstract
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.
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
- MR5, Centre for Mathematical Sciences
- ndb35's list
- School of Physical Sciences
- yk373's list
Note: Ex-directory lists are not shown.