Curvatures of Graphs, Simplicial Complexes and Metric Spaces

2017-3-6 11:27:36 1015

Curvature is a notion originally developed in differential and Riemannian geometry. It was then discovered that curvature inequalities in Riemannian manifolds are equivalent to other geometric properties, like triangle comparison theorems, generalized Bocher inequalities, volume growth estimates, coupling of Brownian motions, or optimal transport inequalities that are meaningful on more general classes of metric spaces. Exploring this has been a major theme of mathematical research in recent years. This has provided new insight also on such classical objects as graphs and simplicial complexes, for instance by new eigenvalue estimates or Li-Yau type inequalities. In general, it has inspired the research on the geometry of metric spaces in novel ways. We want to explore this in this workshop, by bringing together experts on the different aspects of this line of research.

Organizers

NameUniversity
Juergen JostMax-Planck Institute for Mathematics in the Sciences, Germany
BoBo HuaFudan University, ChinaFudan University, China

Participants

Qun ChenWuhan University, China
David CushingNewcastle University, United Kingdom
Jozef DodziukCity University of New York, USA
Xianfeng David GuState University of New York at Stony Brook, USA
Bobo HuaFudan University, China
Jiacheng HuangFudan University, China
Ran JiTsinghua University, China
Renjin JiangBeijing Normal University, China
Juergen JostMax-Planck Institute for Mathematics in the Sciences, Germany
Martin KellUniversity of Tuebingen, Germany
Matthias KellerUniversity of Potsdam, Germany
Xianqing Li-JostMax Planck Institute for Mathematics in the Sciences, Germany
Shiping LiuUniversity of Scinece and Technology of China
Linyuan LuUniversity of South Carolina, USA
Feng LuoRutgers University, USA
Jun MasamuneHokkaido University, Japan
Benjamin MatschkeMax Planck Institute for Mathematics, Germany
Florentin MuenchUniversity of Potsdam, Germany
Shin-ichi OhtaKyoto University, Japan
Norbert PeyerimhoffDurham University, UK
Jacobus Willem PortegiesEindhoven University of Technology, Netherlands
Max von RenesseUniversity of Leipzig, Germany
Pascal RomonUniversité Paris-Est-Marne-la-Vallée, France
Emil SaucanMax-Planck Institute for Mathematics in the Sciences, Germany
Gerardo Garciamarin SosaMax Planck Institute for Mathematics in the Sciences, Germany
Karl-Theodor SturmUniversity of Bonn, Germany
Guofang WangUniversity of Freiburg, Germany
Chao XiaXiamen University, China
Shicheng XuCapital Normal University, China
Hui-Chun ZhangSun Yat-sen University, China