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Selmer K-theory SemesterSoSe 2023 Lecturer Marc Hoyois Type of course (Veranstaltungsart) Oberseminar German title Selmer-K-Theorie Contents Selmer K-theory is a localizing invariant of stable categories introduced by Clausen to give a K-theoretic construction of the Artin map from the idele class group of a number field to its abelianized Galois group. For schemes, Selmer K-theory is closely related to the étale sheafification of algebraic K-theory, and in general it can thus be viewed as a non-commutative extension of the latter. In this seminar, we will review the definition of Selmer K-theory, which combines insights of Thomason on K(1)-local algebraic K-theory and of Geisser-Hesselholt on topological cyclic homology. We will then discuss applications to étale K-theory following Clausen and Mathew. Literature D. Clausen and A. Mathew, "Hyperdescent and étale K-theory"; D. Clausen, "A K-theoretic approach to Artin maps" Time/Date Tue 14-16 Location tba and online Course homepage https://hoyois.app.uni-regensburg.de/SS23/ksel/index.html (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
MV, MSem ECTS 4,5 |