「幾何学的群論における新しい指導的理論の確立」

「幾何学的群論における新しい指導的理論の確立」「幾何学的群論における新しい指導的理論の確立」
基盤研究A
研究課題/領域番号 20H00114
研究代表者: 藤原耕二京都大学・理学研究科・教授 (60229078)
研究期間 (年度) 2020-4-1 -- 2025-03-31

研究分担者：小沢登高京都大学・数理解析研究所・教授 (60323466);
塩谷隆東北大学・理学研究科・教授 (90235507).
山下靖中央大学・理工学部・教授 (70239987) (2023年度)

研究員：

Selected Publication

Fujiwara, Koji; Sela, Zlil. The rates of growth in a hyperbolic group. Invent. Math.233(2023), no.3, 1427--1470.
Bestvina, Mladen; Fujiwara, Koji; Wigglesworth, Derrick. The Farrell-Jones conjecture for hyperbolic-by-cyclic groups. Int. Math. Res. Not. IMRN(2023), no. 7,
Fujiwara, Koji; Papasoglu, Panos. Asymptotic dimension of planes and planar graphs. Trans. Amer. Math. Soc. 374 (2021), no. 12, 8887--8901.
Bestvina, Mladen; Bromberg, Ken; Fujiwara, Koji. Proper actions on finite products of quasi-trees Ann. H. Lebesgue 4 (2021), 685--709.
Breuillard, Emmanuel; Fujiwara, Koji. On the joint spectral radius for isometries of non-positively curved spaces and uniform growth. Ann. Inst. Fourier 71 (2021), no. 1, 317--391.
Dahmani, Francis; Fujiwara, Koji; Guirardel, Vincentt. Solvable groups of interval exchange transformations. Ann. Fac. Sci. Toulouse Math. (6) 29 (2020), no. 3, 595--618.
Fujiwara, Koji; Shioya, Takashi. Graph manifolds as ends of negatively curved Riemannian manifolds. Fujiwara, Koji; Shioya, Takashi Geom. Topol. 24 (2020), no. 4, 2035--2074.

Talks Koji Fujiwara

2024.1.1. Growth rates in a family of hyperbolic groups. International Colloquium on randomness, geometry, and dynamics. IISER, Pune.India.
2023.6.1. Growth rates in hyperbolic groups. Groups and Dynamics in Geometry. Monte Verita, Switzerlad.
2023.2.9. Growth rates in a hyperbolic group. Colloquium. U Bristol. UK.
2022.4.26. The asymptotic dimension of arc graphs. "Mapping class groups and Out(Fn)" IHP, France.
2022.6.20. Growth of acylindrically hyperbolic groups. "Hyperbolic groups and their generalizations", IHP, France.
2022.9.2 双曲群の増大度のなす集合。幾何学シンポジウム。東京理科大
2021.7.7. Rates of growth in a hyperbolic group. Artin Groups, CAT(0) geometry and related topics, A conference in honor of RUTH CHARNEY. Ohio State University. USA.(Zoom)
2021.11.9. Growth of hyperbolic groups. SFB-Lecture, Regensburg, Germany(Zoom).