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Statut |
Confirmé |
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Série |
MATH-IHES |
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Domaines |
math |
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Date |
Jeudi 18 Juin 2026 |
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Heure |
11:00 |
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Institut |
IHES |
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Salle |
Amphithéâtre Léon Motchane |
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Nom de l'orateur |
Shiho |
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Prenom de l'orateur |
Atsushi |
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Addresse email de l'orateur |
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Institution de l'orateur |
The University of Tokyo |
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Titre |
On Hodge-Witt Sheaves with Modulus |
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Résumé |
Let k be a perfect field of characteristic p > 0. The Hodge-Witt sheaf is a sheaf with transfer on the category of smooth k-varieties. However, since it does not satisfy the cohomological A1-invariance, the Hodge-Witt cohomology is not representable in Voevodsky's category of motives. One way to overcome this drawback is to consider the category of motives with modulus defined by Kahn-Miyazaki-Saito-Yamazaki. We define the Hodge-Witt sheaf for modulus pairs over k satisfying the properties called the cohomological cube invariance and the cohomological blow-up invariance. These imply that the Hodge-Witt cohomology is representable in the category of motives with modulus under resolution of singularities. Also, we try to discuss properties of our Hodge-Witt sheaves for modulus pairs and possible relationship with another construction by Ren-Rulling. This is partly joint work in progress with Veronika Ertl. |
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Numéro de preprint arXiv |
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Commentaires |
Séminaire de Géométrie arithmétique |
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Fichiers attachés |
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