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.
03月13日
2017
03月17日
2017
注册截止日期
2018年12月10日 中国
三亚国际数学论坛:Mathematical Theory Applied in Coding and Cryptography2018年08月27日 中国
三亚国际数学论坛:Theory of Banach Spaces and Related Topics2018年06月04日 中国
三亚国际数学论坛:Modeling, Analysis, Simulations and Applications of Inter-Facial Dynamics and FSI Problems2018年05月14日 中国
三亚国际数学论坛:Recent Advances in Convex Geometry and Geometric Functional Analysis2018年04月09日 中国
三亚国际数学论坛:Asymptotic, Algebraic and Geometric Aspects of Integrable Systems2018年03月12日 中国
三亚国际数学论坛:Partial Differential Equations in Geometry and Physics2018年03月12日 中国
三亚国际数学论坛:Algorithmic Game Theory and Internet Economics2018年02月26日 中国
三亚国际数学论坛:Global Differential Geometry2018年02月26日 中国
三亚国际数学论坛:Nonlinear Partial Differential Equations and Related Topics2018年01月29日 中国
三亚国际数学论坛:Symmetries of Graph and Networks
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