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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > The slices of KGL over arbitrary bases

## The slices of KGL over arbitrary basesAdd to your list(s) Download to your calendar using vCal - Tom Bachmann (Ludwig-Maximilians-Universität München)
- Wednesday 15 June 2022, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. KA2W01 - Algebraic K-theory, motivic cohomology and motivic homotopy theory I will explain how to prove that, over any base scheme whatsover, the slices (in the sense of Voevodsky) of the motivic spectrum KGL (representing homotopy algebraic K-theory) coincide with Spitzweck’s motivic cohomology. This affirms a conjecture of Voevodsky. As an application, over any scheme of finite valuative dimension one obtains a well-behaved spectral sequence from motivic cohomology to homotopy K-theory. Thus we find in great generality a conceptual construction of the “motivic spectral sequence”. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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