Lipschitz calculus on metric spaces

Guy C. David (New York University)


天數 202


2017-02-24 (星期五) 10:00 - 11:00


We will discuss recent developments in the theory of first-order calculus for Lipschitz functions on metric spaces that are non-smooth, abstract, or otherwise highly non-Euclidean, a theory that begins primarily with a 1999 work of Cheeger. We will explain aspects of the relationship between the geometry and topology of a metric space and the analytic structure it supports. Applications, relationships, and examples will appear from metric embedding theory, hyperbolic geometry, sub-Riemannian manifolds, and quasiconformal geometry.


14:30 - 15:00


夏俊雄 Volker Elling (中央研究院數學所)