Faculty | Graduate School of Science and Engineering Mathematics Physics and Earth Sciences |
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Position | Associate Professor |

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Last Updated :2019/02/07

- A coarse Cartan-Hadamard theorem with application to the coarse Baum-Connes conjecture

Tomohiro Fukaya, Shin-ichi Oguni, Journal of Topology and Analysis, to appear - On relative hyperbolicity for a group and relative quasiconvexity for a subgroup

Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata, Tokyo Journal of Mathematics, to appear - On coarse geometric aspects of Hilbert geometry

Ryosuke Mineyama, Shin-ichi Oguni, Monatshefte fur Mathematik, 187, (4) 665 - 680, 12 , DOI - Coronae of relatively hyperbolic groups and coarse cohomologies

Tomohiro Fukaya, Shin-ichi Oguni, Journal of Topology and Analysis, 8, 431 - 474, 09 , DOI - The coarse Baum-Connes conjecture for Busemann nonpositively curved spaces

Tomohiro Fukaya, Shin-ichi Oguni, Kyoto Journal of Mathematics, 56, 1 - 12, 04 , DOI - The coarse Baum-Connes conjecture and related topics (Japanese)

Shin-ichi Oguni, Sūgaku, 68, (2) 177 - 199, 04 - Coronae of product spaces and the coarse Baum-Connes conjecture

Tomohiro Fukaya, Shin-ichi Oguni, Advances in Mathematics, 279, 201 - 233, 07 , DOI - Notes on relatively hyperbolic groups and relatively quasiconvex subgroups

Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata, K. Matsuzaki, Tokyo Journal of Mathematics, 38, 99 - 123, 01 - The universal relatively hyperbolic structure on a group and relative quasiconvexity for subgroups

Matsuda Yoshifumi, Oguni Shin-ichi, Yamagata Saeko, RIMS Kokyuroku Bessatsu, RIMS Kokyuroku Bessatsu, 48, 73 - 93, 06 - On Cannon-Thurston maps for relatively hyperbolic groups

Yoshifumi Matsuda, Shin-ichi Oguni, Journal of Group Theory, 17, 41 - 47, 01 , DOI - C*-simplicity for groups with non-elementary convergence group actions

Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata, Houston Journal of Mathematics, 39, 1291 - 1299, 12 - Dilatational equivalence classes, Novikov-Shubin type capacities of groups, and random walks

Shin-ichi Oguni, Noncommutative Geometry and Physics, 3, 433 - 469, 03 - The coarse Baum-Connes conjecture for relatively hyperbolic groups

Tomohiro Fukaya, Shin-ichi Oguni, Journal of Topology and Analysis, 4, 99 - 113, 03 , DOI - The group homology and an algebraic version of the zero-in-the-spectrum conjecture

Shin-ichi Oguni, Kyoto Journal of Mathematics, 47, 359 - 369, 01 - Secondary Novikov-Shubin invariants of groups and quasi-isometry

Shin-ichi Oguni, Journal of the Mathematical Society of Japan, 59, 223 - 237, 01 , DOI

- Coarse compactifications and controlled products

Tomohiro Fukaya, Shin-ichi Oguni, Takamitsu Yamauchi, 2018 10 20 , We introduce the notion of controlled products on metric spaces as a generalization of Gromov products, and construct boundaries by using controlled products, which we call the Gromov boundaries. It is shown that the Gromov boundary with respect to a controlled product on a proper metric space complements the space as a coarse compactification. It is also shown that there is a bijective correspondence between the set of all coarse equivalence classes of controlled products and the set of all equivalence classes of coarse compactifications. - Blowing up and down compacta with geometrically finite convergence actions of a group

Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata, 2012 01 , We consider two compacta with minimal non-elementary convergence actions of a countable group. When there exists an equivariant continuous map from one to the other, we call the first a blow-up of the second and the second a blow-down of the first. When both actions are geometrically finite, it is shown that one is a blow-up of the other if and only if each parabolic subgroup with respect to the first is parabolic with respect to the second. As an application, for each compactum with a geometrically finite convergence action, we construct its blow-downs with convergence actions which are not geometrically finite. - Hyperbolically embedded virtually free subgroups of relatively hyperbolic groups

Yoshifumi Matsuda, Shin-ichi Oguni, Saeko Yamagata, 2011 09 , We show that if a group is not virtually cyclic and is hyperbolic relative to a family of proper subgroups, then it has a hyperbolically embedded subgroup which contains a finitely generated non-abelian free group as a finite index subgroup. - L2-invariants of groups under coarse equivalence and of groupoids under Morita equivalence

Shin-ichi Oguni, preprint, 2010 08 , We prove that triviality of some L2-invariants of discrete groups is preserved by coarse equivalence, where L2-invariants are L2-homologies, L2-Betti numbers (with `a mild condition') and Novikov-Shubin invariants. We give definitions of some L2-invariants of cocompact etale groupoids and prove that their triviality is preserved by Morita equivalence. Also we exhibit basic properties for modules over von Neumann algebras which are not necessarily finite. This paper contains an appendix by Yamashita, where a characterization of finite von Neumann algebras is given.

- On a coarse Cartan-Hadamard theorem

Shin-ichi Oguni, Rigidity School ― The Final Meeting, 2018 09 - On coarse homotopy

Shin-ichi Oguni, Research Trends on Set-theoretic and Geometric Topology and their cooperation with various branches, 2017 06 - Coronae of product spaces and the coarse Baum-Connes conjecture

Shin-ichi Oguni, Conference on Non-commutative Geometry and K-Theory, 2015 12 - Coarse Baum-Connes conjecture and coarse algebraic topology

Shin-ichi Oguni, Rigidity School, Tokyo 2013/2014, 2014 01 - Coronae and coarse homologies

Shin-ichi Oguni, Metric geometry and analysis, 2013 12 - On the coarse Baum-Connes conjecture

Shin-ichi Oguni, GEOQUANT 2013, 2013 08

- 粗Baum-Connes予想に関わる粗幾何学

JSPS, Grant-in-Aid for Young Scientists (B), OGUNI Shin-ichi - 離散群の相対的双曲構造と収束群作用

JSPS, Grant-in-Aid for Young Scientists (B), OGUNI Shin-ichi - 離散群の相対双曲構造

愛媛大学, 理学部長裁量研究助成費, OGUNI Shin-ichi - 普遍的な幾何学的有限収束作用を持つ離散群
の探求とそのような離散群の性質の研究

愛媛大学, 理学部長裁量研究助成費, OGUNI Shin-ichi