Speaker: Eugene Stepanov (St. Petersburg department of Steklov Mathematical Institute of RAS)

Date: Nov. 24 (Friday)

Beijing time: 14:00-15:00 (Moscow time: 9:00-10:00)

Zoom ID: 883 3109 7486  Password: 044520

Abstract：

We will consider a classical problem on how to reconstruct the metric measure space from the information on distances between points from a very large subsets (covering densely the space in the limit), as well as how to reconstruct its embedding in a Euclidean or Hilbert space (this is quite natural, for instance, in the case when the space studied is a smooth Riemannian manifold).

Biography:

Eugene Stepanov received his PhD in Mathematics from Scuola Normale Superiore di Pisa. He then worked at the University of Pisa, the University of St. Petersburg and the Higher School of Economics (Moscow). His scientific interests include metric geometry, geometric measure theory, direct methods of calculus of variations, and dynamical systems, as well as applications to differential equations, control theory, and geometric problems in big data analysis, in particular, in biology. He is currently a senior researcher at St. Petersburg department of Steklov Mathematical Institute of the Russian Academy of Sciences, and he cooperates with several international research institutions.