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SUMMARY:The slices of KGL over arbitrary bases - Tom Bachmann (Ludwig-Maxi
 milians-Universität München)
DTSTART:20220615T103000Z
DTEND:20220615T113000Z
UID:TALK174923@talks.cam.ac.uk
DESCRIPTION:I will explain how to prove that\, over any base scheme whatso
 ver\, the slices (in the sense of Voevodsky) of the motivic spectrum KGL (
 representing homotopy algebraic K-theory) coincide with Spitzweck's motivi
 c cohomology. This affirms a conjecture of Voevodsky. As an application\, 
 over any scheme of finite valuative dimension one obtains a well-behaved s
 pectral sequence from motivic cohomology to homotopy K-theory. Thus we fin
 d in great generality a conceptual construction of the "motivic spectral s
 equence".
LOCATION:Seminar Room 1\, Newton Institute
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