学术报告

报告人：Dr.Emil Saucan (Technion, Haifa, Israel)

报告题目：Ricci Curvatures for Metric measure Spaces - An Overview

报告时间：2014年10月23日（周四）下午4:00-5:00

报告地点：创新园大厦A1138

报告摘要: We present an overview of two generalized notions of Ricci curvature: First we introduce the Ricci curvature condition for metric measure spaces, developed by Lott, Vilani and Surm, and we explore its applications to Sampling Theory (in particular to the sampling and reconstruction of medical images) and to Information Geometry, as well as to manifold discretizaton and volume growth. Next we concentrate on Ollivier's rough Ricci curvature and bring some of its applications, mainly to the study and analysis of Communication Networks. The exposition will be informal and self-contained; its main goal is to develop the basic geometric intuition behind the formulas and results of a modern - and still developing - field of research.

报告人简介：Dr.Emil Saucan received his MA from the Bucharest University, Romania, and his MSc and PhD from the Technion, Haifa, Israel, all of them in Pure Mathematics. He was a Andrew and Erna Finci Viterbi Post-doctoral fellow, in the Electrical Engineering Department, Technion, a senior research fellow at the Technion and the Open University, Raanana, Israel. In addition, he was a Research Fellow at MSRI, Berkley, a Maitre de Conferences at EPFL, Lausanne, Switzerland, and a Visiting Researcher at the Max Planck Institute, Leipzig, Germany.

   Although his PhD Thesis formally belongs to the fields of Geometric Function Theory (quasiregular mappings) and Discrete Groups, his main research interest is Geometry in general (including Geometric Topology), especially Discrete and Metric Differential Geometry and their applications to Imaging, Geometric Design and Pattern Recognition, as well as Geometric Modeling.

   He has also published papers on Mathematics Education, both Pure and Applied, mainly on diverse methods and approaches of teaching Geometry, Topology and their applications, and also on E-Learning.

   He is an editor for "Axioms", as well as a referee and reviewer for a number of Journals, and Conferences, both in Pure and Applied Mathematics. In addition he has served twice as a Reviewer for the USA National Science Foundation (Applied Mathematics).

                                                          mg冰球突破试玩

2014年10月22日