Seminar

Purity of reciprocity sheaves and theory of motives with modulus

Algebro-Geometric and Homotopical Methods

11 April 15:00 - 16:00

Shuji Saito - Tokyo Institute of Technology

We extend Voevodsky's theory of homotopy invariant sheaves with transfer to its generalizations, reciprocity sheaves and cube-invariant sheaves introduced in joint works with Bruno Kahn and Takao Yamazaki. Assuming the base feld has characteristic zero (or admits resolution of singularities), we deduce the "homotopy t-structure" on the triangulated category of motives with modulus constructed by Kahn-Saito-Yamazaki and a formula describing its morphisms groups in terms of Nisnevich hypercohomology groups of Suslin complexes with modulus. In particular, Chow groups of zero-cycles with modulus studied by Kerz-Saito is realized as such morphisms groups.

Organizers
Eric M. Friedlander
The University of Southern California
Lars Hesselholt
University of Copenhagen
Paul Arne Østvaer
University of Oslo

Program
Contact

Paul Arne Østvaer

paularne@math.uio.no

Other
information

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