Daisuke Kazukawa

Papers, Preprints

1. Convergence of cones of metric measure spaces and its application to Cauchy distribution, preprint. (with Syota Esaki, Ayato Mitsuishi)
2. Principal bundle structure of the space of metric measure spaces, preprint. (with Hiroki Nakajima, Takashi Shioya)
3. Boundedness of measured Gromov-Hausdorff precompact sets of metric measure spaces in pyramids, preprint. (with Takumi Yokota)
4. Topological aspects of the space of metric measure spaces, Geom. Dedicata, Vol.218, No.3 (2024), Article 68. (with Hiroki Nakajima, Takashi Shioya)
5. Invariants for Gromov's pyramids and their applications, Adv. Math, Vol.442, No.1 (2024), Article 109583. (with Syota Esaki, Ayato Mitsuishi)
6. High-dimensional ellipsoids converge to Gaussian spaces, to appear in J. Math. Soc. Japan. (with Takashi Shioya)
7. Convergence of energy functionals and stability of lower bounds of Ricci curvature via metric measure foliation, Comm. Anal. Geom., Vol.30, No.6 (2022), 1301-1354.
8. Convergence of metric transformed spaces, Israel J. Math, Vol.252, No.1 (2022), 243-290.
9. Concentration of product spaces, Anal. Geom. Metr. Spaces, Vol.9, No.1 (2021), 186-218.
10. Boundedness of precompact sets of metric measure spaces, Geom. Dedicata, Vol.215, No.1 (2021), 229–242. (with Takumi Yokota)
11. Stabilities of rough curvature dimension condition, J. Math. Soc. Japan, Vol.72, No.2 (2020), 541-567. (with Ryunosuke Ozawa and Norihiko Suzuki)

Talks

International conferences/seminars

1. Convergence of cones of metric measure spaces and its application to Cauchy distribution, Geometry and Probability 2023, Sonic City in Saitama, August 9, 2023.
2. Convergence of metric transformed spaces, The 6th China-Japan Geometry Conference, Chongqing University of Technology/Osaka City University, December 26, 2021.
3. Behavior of Ricci curvature and Laplacian via metric measure foliation, Exchange Program between Fudan University and Tohoku University, Fudan University, November 13, 2019.
4. Concentration of l_p-product spaces, Geometry and Probability, Fukuoka University, February 1, 2019.
5. A new condition for convergence of energies and stability of Ricci curvature bounds, Geometry and Probability (Short Communication), Tohoku University, January 13, 2018.

Talks in Japanese

1. Principal bundle structure of the space of metric measure spaces, Topology and Geometry seminar, Hiroshima University, January 16, 2024.
2. Convergence of cones of metric measure spaces and its application to Cauchy distribution, Geodesics and Related Problems, Kumamoto University, January 4, 2024.
3. Convergence of cones of metric measure spaces and its application to Cauchy distribution, Geometry and Analysis at Fukuoka University, Fukuoka University, November 5, 2023.
4. Convergence of cones of metric measure spaces and its application to Cauchy distribution, Geometry seminar, Tohoku University, October 17, 2023.
5. Convergence theory of metric measure spaces based on the concentration of measure phenomenon, MSJ Fall Meeting 2023, Tohoku University, September 23, 2023.
6. Principal bundle structure of the space of metric measure spaces, The 70th Geometry Symposium, Hiroshima University, September 1, 2023.
7. Convergence of high-dimensional radial-symmetric distributions on Euclidean spaces as metric measure spaces, Applied Analysis seminar, Kumamoto University, July 15, 2023.
8. Principal bundle structure of the space of metric measure spaces, Geometry and Topology, Kyushu University, June 29, 2023.
9. Convergence of cones of metric measure spaces and its application to Cauchy distribution, Geometry seminar, Saitama University, May 25, 2023.
10. Principal bundle structure of the space of metric measure spaces, MSJ Spring Meeting 2023, Chuo University, March 15, 2023.
11. Topological aspects of the space of metric measure spaces, MSJ Spring Meeting 2023, Chuo University, March 15, 2023.
12. Convergence theory of metric measure spaces based on the concentration of measure phenomenon, Session "Young Mathematicians' Challenge" 2023, AP Ichigaya, March 13, 2023.
13. Principal bundle structure of the space of metric measure spaces, The 18th Algebra Analysis Geometry seminar, Kagoshima University (Online), February 21, 2023.
14. Principal bundle structure of the space of metric measure spaces, Geodesics and Related Problems, Kumamoto University, January 4, 2023.
15. Distinguishing certain infinite-dimensional spaces by invariants, Geometry seminar, Kyushu University, April 22, 2022.
16. Boundedness of precompact sets of metric measure spaces, MSJ Spring Meeting 2022, Saitama University, March 28, 2022.
17. Topological aspects of the sets of all metric measure spaces and of all pyramids, Geometry and Probability, Tohoku university, March 18, 2022.
18. Topological aspects of the sets of all metric measure spaces and of all pyramids, Geometry colloquium in Hirado, Nakano town hall, February 22 & 25, 2022.
19. Convergence of high-dimensional spheres, Geometry seminar, Fukuoka University, February 17, 2022.
20. Continuity of the logarithmic Sobolev type best constant on convergence of spaces, Cross border seminar for young researchers of mathematical analysis, Online, November 27, 2021.
21. Convergence of high-dimensional spheres and projective spaces, Geometry seminar, Kyushu University (Online), November 25, 2021.
22. Convergence of high-dimensional ellipsoids, spheres, and projective spaces, The 68th Geometry Symposium, Hokkaido University (Online), August 31, 2021.
23. Convergence of metric transformed spaces, MSJ Spring Meeting 2021, Keio University (Online), March 17, 2021.
24. A limit of solid ellipsoids as the dimension diverges to infinity, Geometry seminar, Osaka University (Online), May 25, 2020.
25. Concentration of product spaces and convergence of product pyramids, Geometry seminar, Tohoku university, November 26, 2019.
26. Concentration of product spaces, Geometry conference in Aso, Kyukamura Minami-Aso, September 2, 2019.
27. Concentration of product spaces, The 66th Geometry Symposium, Nagoya University, August 28, 2019.
28. Convergence of eigenvalues and heat flows associated with convergence of Riemannian manifolds, OS extra seminar, Tohoku University, April 24, 2019.
29. Concentration of l_p-product spaces, MSJ Spring Meeting 2019, Tokyo Institute of Technology, March 18, 2019.
30. Concentration of l_p-product spaces, The 15th Mathematics Conference for Young Researchers, Hokkaido University, March 4, 2019.
31. On concentration of metric measure spaces, Science and Life Science Joint Symposium 2019, Tohoku university, February 15, 2019.
32. Concentration of l_p-product spaces, Geometry seminar, Tohoku university, October 16, 2018.
33. Concentration of l_p-product spaces, Geometry conference in Aso, Kyukamura Minami-Aso, September 4, 2018.
34. Variational convergence of Cheeger energies via metric measure foliations, The 65th Geometry Symposium, Tohoku University, August 29, 2018.
35. A new condition for convergence of energies and stability of Ricci curvature bounds, MSJ Spring Meeting 2018, University of Tokyo, March 18, 2018.
36. A new condition for convergence of energies and stability of Ricci curvature bounds, The 14th Mathematics Conference for Young Researchers, Hokkaido University, Hokkaido University, February 28, 2018.
37. A new condition for convergence of energies and stability of Ricci curvature bounds, Riemannian Geometry and Geometric Analysis, Tsukuba University, February 22, 2018.
38. A new condition for convergence of energies and stability of Ricci curvature bounds, The 1st Mathematical Science Freshman Seminar, Kyoto University, February 13, 2018.
39. A new condition for convergence of energies and stability of Ricci curvature bounds, Geometry seminar, Tohoku University, December 19, 2017.
40. A new condition for convergence of energies and stability of Ricci curvature bounds, Geometry seminar, Fukuoka University, December 7, 2017.
41. A new condition for convergence of energies and stability of Ricci curvature bounds, Geometry seminar, Osaka University, November 13, 2017.
42. Convergence of energy functionals and stability of Ricci curvature bounds associated with convergence of spaces, The 13th Mathematics Conference for Young Researchers, Hokkaido University, Hokkaido University, February 27, 2017.

Organizer

1. Frontiers of Riemannian Geometry ~Curvature, Convergence, Concentration~ In honor of the 60th birthday of Takashi Shioya, Tohoku University, November 30 - December 2, 2023.

Curriculum Vitae

Links

• Hiroki Nakajima
• Ryunosuke Ozawa
• Syota Esaki
• Ayato Mitsuishi
• Takumi Yokota
• Takashi Shioya
• Shin-ichi Ohta

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