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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Representations of Galois groups and Algebraic K-theory of fields

## Representations of Galois groups and Algebraic K-theory of fieldsAdd to your list(s) Download to your calendar using vCal - Gunnar Carlsson (Stanford University)
- Monday 13 June 2022, 10:00-11:00
- 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 We have shown in earlier work that there is a strong relationship between derived completions of representation rings of absolute Galois groups and Milnor K-theory, and that this relationship derives from a spectrum level construction relating a completion of the K-theory spectrum of the category of finite dimensional representations of the absolute Galois group of a field F with the K-theory spectrum of F. We will describe this relationship and progress toward a proof of the main conjecture, namely that the the completion of the representation theory spectrum is equivalent to the K-theory spectrum of the field. This is joint work with Roy Joshua. 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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