![[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)
Fabien Morel (Munich)
Wednesday 01 December 2010, 14:15-15:15
The rigidity property for the chain complex of a torus in A1-homotopy theory, and the Friedlander-Milnor conjecture
- 👤 Speaker: Fabien Morel (Munich)
- 📅 Date & Time: Wednesday 01 December 2010, 14:15 - 15:15
- 📍 Venue: MR13, CMS
Abstract
In this talk we prove that the chain complex of a product of G_m’s in A1-homotopy theory satisfies the rigidity property at any prime l different from the characteristic of the base field, by first explaining how the homology sheaves of this complex have a structure of “A1-sheaves with generalized transfers”, more general than the notion of A1-invariant sheaves with transfers due to V. Voevodsky. We prove that such sheaves also have the rigidity property mod l by reducing in a non-trivial way to the classical rigidity theorem. This step is one of the main technical parts of our proof of the Friedlander-Milnor conjecture for groups of small rank like SL_2 and SL_3.
Series This talk is part of the Algebraic Geometry Seminar series.
Included in Lists
- Algebraic Geometry Seminar
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CMS Events
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Hanchen DaDaDash
- Interested Talks
- MR13, CMS
- School of Physical Sciences
Note: Ex-directory lists are not shown.