Motives, quadratic forms and arithmetic

Session

Friday morning

Oct 28, 2022, 9:00 AM

Louvre Lens Vallée

15. Perverse homotopy heart of stable motivic homotopy and Milnor-Witt-modules

Frederic Deglise

10/28/22, 9:00 AM

One of Voevodsky's pillar for motivic complexes is the Gersten resolution of homotopy invariant sheaves with transfers over a perfect field k. In my Ph. D., prepared in the Algebraic Geometry team that Bruno was leading in Chevaleret, I extended this result in an equivalence of categories between the homotopy heart of (stable) Voevodsky's motivic complexes and Rost's cycle modules, over...

16. Spectral measures associated with tensor categories

Javier Fresán

10/28/22, 10:15 AM

I will report on an ongoing project with Arthur Forey and Emmanuel Kowalski that grew out of some afterthoughts on our work on equidistribution of exponential sums. We define spectral measures associated with complex-valued additive invariants on tensor categories, and find simple criteria for their existence and uniqueness. We then compute them for some exotic tensor categories, such as...

9. Universal Weil cohomology

Luca Barbieri Viale

10/28/22, 11:35 AM

In a joint work with Bruno Kahn we construct a universal
Weil cohomology for smooth projective varieties over a field.
In this talk we explain universal cohomology theories as solutions of
representability problems providing the main ingredients for this
construction.