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SUMMARY:The rigidity property for the chain complex of a torus in A1-homot
 opy theory\, and the Friedlander-Milnor conjecture - Fabien Morel (Munich)
DTSTART:20101201T141500Z
DTEND:20101201T151500Z
UID:TALK27100@talks.cam.ac.uk
CONTACT:Burt Totaro
DESCRIPTION:In this talk we prove that the chain complex of a\nproduct of 
 G_m's in A1-homotopy theory\nsatisfies the rigidity property at any prime 
 l\ndifferent from the\ncharacteristic of the base\nfield\, by first explai
 ning how the homology sheaves of this complex\nhave a structure of "A1-she
 aves with generalized transfers"\, more\ngeneral than the notion of A1-inv
 ariant sheaves with transfers due to V.\nVoevodsky. We prove that such she
 aves\nalso have the rigidity property mod l\nby reducing in a non-trivial 
 way to\nthe classical rigidity\ntheorem. This step is one of the main tech
 nical parts of our proof of the\nFriedlander-Milnor conjecture\nfor groups
  of small rank like SL_2 and SL_3.
LOCATION:MR13\, CMS
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