Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects math
Date Thursday 18 January 2024
Time 11:00
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Bouis
Speaker's First Name Tess
Speaker's Email Address
Speaker's Institution Université Paris-Saclay
Title Motivic Cohomology of Mixed Characteristic Schemes
Abstract I will present a new theory of motivic cohomology for general (qcqs) schemes. It is related to non-connective algebraic K-theory via an Atiyah-Hirzebruch spectral sequence. In particular, it is non-A^1-invariant in general, but it recovers classical motivic cohomology on smooth schemes over a Dedekind domain after A^1-localisation. The construction relies on the syntomic cohomology of Bhatt-Morrow-Scholze and the cdh-local motivic cohomology of Bachmann-Elmanto-Morrow, and generalises the construction of Elmanto-Morrow in the case of schemes over a field.
arXiv Preprint Number

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