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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Motivic cohomology of schemes SemesterSoSe 2026 Lecturer Marc Hoyois, Marco Volpe Type of course (Veranstaltungsart) Oberseminar German title Motivische Kohomologie der Schemata Contents The goal of this seminar is to understand the motivic filtration of the A^1-invariant algebraic K-theory of arbitrary schemes and the resulting theory of A^1-invariant motivic cohomology, recently developed in this generality by Bachmann, Elmanto, and Morrow. The construction uses many aspects of the formalism of motivic spectra, including the slice filtration, the six-functor formalism, and framed correspondences, which we will review. We will then discuss the comparison with cycle-theoretic constructions in special cases (for smooth schemes over Dedekind rings), with syntomic cohomology (the Beilinson-Lichtenbaum conjecture), and compute motivic cohomology in low weights. Literature Tom Bachmann, Elden Elmanto, Mathew Morrow: A^1-invariant motivic cohomology of schemes Time/Date Tuesday 14-16 Location M311 Course homepage https://hoyois.app.uni-regensburg.de/SS26/motiviccoh/index.html (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
MV, MSem ECTS 4,5 |