The rigidity property for the chain complex of a torus in A1homotopy theory, and the FriedlanderMilnor conjecture
Add to your list(s)
Download to your calendar using vCal
 Fabien Morel (Munich)
 Wednesday 01 December 2010, 14:1515:15
 MR13, 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 A1homotopy 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 “A1sheaves with generalized transfers”, more
general than the notion of A1invariant sheaves with transfers due to V.
Voevodsky. We prove that such sheaves
also have the rigidity property mod l
by reducing in a nontrivial way to
the classical rigidity
theorem. This step is one of the main technical parts of our proof of the
FriedlanderMilnor conjecture
for groups of small rank like SL_2 and SL_3.
This talk is part of the Algebraic Geometry Seminar series.
This talk is included in these lists:
Note that exdirectory lists are not shown.
