Motives, quadratic forms and arithmetic

Session

Wednesday morning

26 oct. 2022, 09:00

Louvre Lens Vallée

17. Representing Hodge realization

Florence Lecomte (IRMA CNRS Strasbourg)

26/10/2022 09:00

Looking for a category to represent Hodge filtration, with or without log, with or without modulus.

11. HKR theorem and residue sequences for logarithmic Hochschild homology

Federico Binda (University of Milano)

26/10/2022 10:15

Using a geometric definition of logarithmic Hochschild homology of derived pre-log rings, we construct an André-Quillen type spectral sequence and show a logarithmic version of the Hochschild-Kostant-Rosenberg theorem. We use this to show that (log) Hochschild homology is representable in the category of log motives. Among the applications, we deduce a residue sequence for Hochschild homology...

7. Unramified cohomology and P^1-invariance

Takao Yamazaki (Chuo University)

26/10/2022 11:35

Binda-Rulling-Saito proved that a smooth proper variety with universally trivial Chow group of zero-cycles has trivial unramified cohomology for any reciprocity sheaves.
We generalize this result to P^1-invariant sheaves with transfers. A key ingredient is a new moving lemma.
This is joint work with Wataru Kai and Shusuke Otabe.