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2,673 results on '"Kato, Hiroki"'

1. A Tannakian framework for prismatic $F$-crystals

Author

Imai, Naoki, Kato, Hiroki, and Youcis, Alex

Subjects
Mathematics - Number Theory, Mathematics - Algebraic Geometry
Abstract

We develop the Tannakian theory of (analytic) prismatic $F$-crystals on a smooth formal scheme $\mathfrak{X}$ over the ring of integers of a discretely valued field with perfect residue field. Our main result gives an equivalence between the $\mathcal{G}$-objects of prismatic $F$-crystals on $\mathfrak{X}$ and $\mathcal{G}$-objects on a newly-defined category of $\mathbb{Z}_p$-local systems on $\mathfrak{X}_\eta$: those of prismatically good reduction. Additionally, we develop a shtuka realization functor for (analytic) prismatic $F$-crystals on $p$-adic (formal) schemes and show it satisfies several compatibilities with previous work on the Tannakian theory of shtukas over such objects., Comment: 55 pages. The contents of this article previously belonged to arXiv:2310.08472, but that article has been expanded and this portion split off to form this paper

Published
2024

3. RNA-binding proteins hnRNPM and ELAVL1 promote type-I interferon induction downstream of the nucleic acid sensors cGAS and RIG-I

Author

Kirchhoff, Alexander, Herzner, Anna-Maria, Urban, Christian, Piras, Antonio, Düster, Robert, Mahlberg, Julia, Grünewald, Agathe, Schlee-Guimarães, Thais M, Ciupka, Katrin, Leka, Petro, Bootz, Robert J, Wallerath, Christina, Hunkler, Charlotte, de Regt, Ann Kristin, Kümmerer, Beate M, Christensen, Maria Hønholt, Schmidt, Florian I, Lee-Kirsch, Min Ae, Günther, Claudia, Kato, Hiroki, Bartok, Eva, Hartmann, Gunther, Geyer, Matthias, Pichlmair, Andreas, and Schlee, Martin

Published
2025
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25. The prismatic realization functor for Shimura varieties of abelian type

Author

Imai, Naoki, Kato, Hiroki, and Youcis, Alex

Subjects
Mathematics - Number Theory, Mathematics - Algebraic Geometry
Abstract

For the integral canonical model $\mathscr{S}_{\mathsf{K}^p}$ of a Shimura variety $\mathrm{Sh}_{\mathsf{K}_0\mathsf{K}^p}(\mathbf{G},\mathbf{X})$ of abelian type at hyperspecial level $K_0=\mathcal{G}(\mathbb{Z}_p)$, we construct a prismatic $F$-gauge model for the `universal' $\mathcal{G}(\mathbb{Z}_p)$-local system on $\mathrm{Sh}_{\mathsf{K}_0\mathsf{K}^p}(\mathbf{G},\mathbf{X})$. We use this to obtain new $p$-adic information about these Shimura varieties, notably an abelian-type analogue of the Serre--Tate theorem (realizing an expectation of Drinfeld in the abelian-type case) and a prismatic characterization of these models. To do this, we make several advances in integral $p$-adic Hodge theory, notably the development of an integral analogue of the functor $D_{\mathrm{crys}}$., Comment: 91 pages. Introduction revised. Section 4.5 on applications to the theory of G-zips is added

Published
2023

30. 'I am both here and there' Parallel Control of Multiple Robotic Avatars by Disabled Workers in a Caf\'e

Author

Barbareschi, Giulia, Kawaguchi, Midori, Kato, Hiroki, Nagahiro, Masato, Takehuchi, Kazuaki, Shiiba, Yoshifumi, Kasahara, Shunichi, Kunze, Kai, and Minamizawa, Kouta

Subjects
Computer Science - Human-Computer Interaction
Abstract

Robotic avatars can help disabled people extend their reach in interacting with the world. Technological advances make it possible for individuals to embody multiple avatars simultaneously. However, existing studies have been limited to laboratory conditions and did not involve disabled participants. In this paper, we present a real-world implementation of a parallel control system allowing disabled workers in a caf\'e to embody multiple robotic avatars at the same time to carry out different tasks. Our data corpus comprises semi-structured interviews with workers, customer surveys, and videos of caf\'e operations. Results indicate that the system increases workers' agency, enabling them to better manage customer journeys. Parallel embodiment and transitions between avatars create multiple interaction loops where the links between disabled workers and customers remain consistent, but the intermediary avatar changes. Based on our observations, we theorize that disabled individuals possess specific competencies that increase their ability to manage multiple avatar bodies.

Published
2023

35. On the p-adic weight-monodromy conjecture for complete intersetions in toric varieties

Author

Binda, Federico, Kato, Hiroki, and Vezzani, Alberto

Subjects
Mathematics - Algebraic Geometry, Mathematics - K-Theory and Homology, Mathematics - Number Theory, 14F30, 14F42, 14G22, 14G45
Abstract

We give a proof of the $p$-adic weight monodromy conjecture for scheme-theoretic complete intersections in projective smooth toric varieties. The strategy is based on Scholze's proof in the $\ell$-adic setting, which we adapt using homotopical results developed in the context of rigid analytic motives., Comment: 35 pages

Published
2022

40. Surgical antimicrobial prophylaxis in Japanese hospitals: Real status and challenges

Author

Morioka, Hiroshi, Koizumi, Yusuke, Watariguchi, Toshitaka, Oka, Keisuke, Tomita, Yuka, Kojima, Yumi, Okudaira, Masami, Ito, Yuji, Shimizu, Junichi, Watamoto, Koichi, Kato, Hiroki, Nagaoka, Masatoshi, Yokota, Manabu, Hasegawa, Chihiro, Tsuji, Takeshi, Shimizu, Shinsuke, Ito, Kenta, Kawasaki, Shohei, Akita, Kenji, Kitagawa, Yuichi, Mutoh, Yoshikazu, Ishihara, Masamitsu, Iwata, Susumu, Nozaki, Yasuhiro, Nozawa, Masanori, Kato, Munehiro, Katayama, Masao, and Yagi, Tetsuya

Published
2024
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44. \'Etale cohomology of algebraizable rigid analytic varieties via nearby cycles over general bases

Author

Kato, Hiroki

Subjects
Mathematics - Algebraic Geometry
Abstract

We prove a finiteness theorem and a comparison theorem in the theory of \'etale cohomology of rigid analytic varieties. By a result of Huber, for a quasi-compact separated morphism of rigid analytic varieties with target being of dimension $\le1$, the compactly supported higher direct image preserves quasi-constructibility. Though the analogous statement for morphisms with higher dimensional target fails in general, we prove that, in the algebraizable case, it holds after replacing the target with a modification. We deduce it from a known finiteness result in the theory of nearby cycles over general bases and a new comparison result, which gives an identification of the compactly supported higher direct image sheaves, up to modification of the target, in terms of nearby cycles over general bases., Comment: 28 pages

Published
2020

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