University of Cambridge > Talks.cam > Algebraic Geometry Seminar > The rigidity property for the chain complex of a torus in A1-homotopy theory, and the Friedlander-Milnor conjecture

The rigidity property for the chain complex of a torus in A1-homotopy theory, and the Friedlander-Milnor conjecture

Add to your list(s) Download to your calendar using vCal

  • UserFabien Morel (Munich)
  • ClockWednesday 01 December 2010, 14:15-15:15
  • HouseMR13, CMS.

If you have a question about this talk, please contact Burt Totaro.

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.

This talk is part of the Algebraic Geometry Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2020 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity