Geometry and Probability 2024

Date:  Jan 8(Wed) - Jan 10(Fri), 2025.

Place: Audiovisual room, Yamagata City Health Center (山形市保健所視聴覚室)

Address:  1-1-1, Jonammachi, Yamagata-shi, Yamagata, 990-8580, Japan (map)

 Access : 3rd floor of Kajo Central Building (website)

Confirmed speakers:   

Davide Barilari (Padova)

Tobias Beran (Vienna)

Mattia Fogagnolo (Padova)

Jun Kitagawa (Michigan State)

Tatsuya Miura (Kyoto)

Felix Rott (SISSA)

Clemens Sämann (Vienna)

Takeshi Suguro (Kumamoto)

Kohei Suzuki (Durham)

Kenshiro Tashiro (OIST)

Hiroshi Tsuji (Saitama)

Sumio Yamada (Gakushuin)

Contributed talks:

Darius Erös（Vienna)  

Yasuaki Fujitani (Osaka)

Kiyuob Jung (Michigan State) 

Rong Lei (Tohoku)

Kanji Inui (Doshisha)

Program:

January 8th(wed)

10:00-10:50 Tatsuya Miura (Kyoto)

• Delta-convex structure of the singular set of distance functions

11:10-12:00 Takeshi Suguro (Kumamoto)

• Convergence rate of regularized optimal transport with Tsallis entropy

13:30-14:20 Jun Kitagawa (Michigan State)

• Metrizing probability measures on metric fiber bundles by disintegration

14:30-15:20 Mattia Fogagnolo (Padova)

• Hypersurfaces of substatic manifolds

15:40-16:30 Kenshiro Tashiro (OIST)

• MCP for sub-Finsler Heisenberg groups

16:40-17:30 Davide Barilari (Padova)

• Unified synthetic Ricci curvature lower bounds for Riemannian and sub-Riemannian structures

18:30-  Banquet

January 9th(thu)

10:00-10:50 Tobias Beran (Vienna)

• Equivalent definitions of sectional curvature bounds in Lorentzian length spaces

11:10-12:00 Felix Rott (SISSA)

• A Toponogov globalisation result for Lorentzian length spaces

13:30-14:20 Clemens Sämann (Vienna)

• Non-smooth spacetime geometry via causal differential calculus on metric measure spacetimes

14:30-15:20 Sumio Yamada (Gakushuin)

• Einstein equation as an elliptic variational problem

15:40- Contributed talks

• Kiyuob Jung (Michigan State)  

Nonsmooth convex optimization using the specular gradient method with root-linear convergence

• Rong Lei (Tohoku)

Convergence of a particle method for gradient flows on the L^p-Wasserstein space

• Darius Erös（Vienna)  

Distributional sectional curvature bounds for Riemannian metrics of low regularity

• Yasuaki Fujitani (Osaka)

Geometric analysis on weighted manifolds under lower 0-weighted Ricci curvature bounds

• Kanji Inui (Doshisha)

Convergence of the uniform distributions on the l^\beta sphere in sense of metric measure geometry

January 10th(fri)

10:00-10:50 Hiroshi Tsuji (Saitama)

• Barycentric Talagrand inequality

11:10-12:00 Kohei Suzuki (Durham)

• A short-time formula for non-linear heat flows

13:30- 19:00 Free discussion

PDF version with abstract is here

Events:

We are thinking to have a welcome dinner on Jan. 7th and a banquet on Jan. 8th. If you want to join these events, please apply via website

本研究会は

科学研究費補助金 基盤研究（S）課題番号22H04942 代表者：桑江一洋 

科学研究費補助金 基盤研究（B）課題番号24K00523 代表者：太田慎一

の援助を受けています．

Organizers

• Kazuhiro Kuwae 桑江 一洋 (Fukuoka) kuwae at fukuoka-u.ac.jp

• Takashi Shioya 塩谷 隆 (Tohoku) takashi.shioya.a2 at tohoku.ac.jp

• Shin-ichi Ohta 太田 慎一 (Osaka) s.ohta at math.sci.osaka-u.ac.jp

• Yohei Sakurai 櫻井 陽平 (Saitama) ysakurai at rimath.saitama-u.ac.jp

• Syota Esaki 江崎 翔太 (Oita) sesaki at oita-u.ac.jp

• Satoshi Ishiwata 石渡 聡 (Yamagata) ishiwata at sci.kj.yamagata-u.ac.jp