Oct 24 – 28, 2022
Louvre Lens Vallée
Europe/Paris timezone
À l'occasion du 64ème anniversaire de Bruno Kahn

On some realizations of motives with modulus

Oct 24, 2022, 3:20 PM
Louvre Lens Vallée

Louvre Lens Vallée

84 Rue Paul Bert, 62300 Lens


Hiroyasu Miyazaki (NTT Institute for Fundamental Mathematics (NTT-IFM))


The theory of motives with modulus was introduced as a generalization of Voevodsky's theory of motives. This generalization aims to get a motivic picture of non-A^1-homotopy invariant phenomena, which cannot be captured by Voevodsky's theory. In this talk, I will briefly review the basics of the theory, and explain the construction of Hodge realization of motives with modulus, based on the ongoing joint works with Shane Kelly. If time permits, I will try to explain my recent joint work with Junnosuke Koizumi on the relationship between motives with modulus and big Witt vectors.

Presentation materials