2015清华大学陈省身讲座

报告人：Cédric Villani，里昂大学
时间：10:30-11:30，2015年1月6日（周二），7日（周三）
地点：清华大学近春园西楼三层报告厅

报告人简介：

Cédric Villani是里昂大学教授、亨利•庞加莱研究所主任，2010年菲尔兹奖得主。Cédric Villani教授1973年生于法国。1992到1996年，他在巴黎高等师范学校学习，并在之后担任该校助理教授。1998年，他在巴黎第九大学获得博士学位，2000年成为里昂高等师范学校教授。他现为里昂大学教授。从2009年以来任亨利•庞加莱研究所主任。

Villani教授的研究兴趣是动力学理论，最优输送及其应用。他的研究领域还涉及到：偏微分发展方程、流体力学、统计力学、概率论、光滑和非光滑“度量”黎曼几何和具有几何内涵的泛函不等式。与Clément Mouhot一起，他研究了非线性朗道阻尼。他研究最优输送理论及其在微分几何中的应用，并与John Lott合作引进了一般可测长度空间有界Ricci曲率的概念。

由于他在朗道阻尼和玻尔兹曼方程的卓越工作，他于2010年获得菲尔兹奖。Villani教授在其2012年的自传体书籍《Théorème vivant》中阐述了他的定理的研究进展。

2015 Tsinghua University Shiing-Shen Chern Distinguished Lecture

Speaker: Cédric Villani
Professor of the University of Lyon
Director of the Henri Poincaré Institute
2010 Fields Medal Laureate

Time: 10:30-11:30, Jan. 6 (Tue.)/ Jan. 7 (Wed.), 2015
Tea break: 10:00-10:30
Place: Lecture Hall, Floor 3, Jin Chun Yuan West Building, Tsinghua University

Generalist lecture: On curvature and optimal transport: When Riemann, Monge and Boltzmann meet

Specialized lecture: Synthetic theory of Ricci curvature: past, present and tentative future

Abstract:
At the turn of the 21st century, it was realized that Ricci curvature could be captured with a combination of probability theory and optimal transport, thus leading to new advances in differential geometry.
In the first lecture I will recall the fundamentals and overview of this area.
In the second lecture I will review the present state of the resulting synthetic theory of Ricci curvature, including remarkable recent advances made by a number of researchers on "Riemannian" spaces with a weak curvature-dimension bound.
 
Introduction of Speaker:
Cédric Villani is a professor at University de Lyon and Director of Henri Poincare Institute. He was awarded the Fields Medal in 2010.
Cédric Villani was born in France in 1973. After attending the Lycée Louis-le-Grand, Villani was admitted at the École Normale Supérieure in Paris and studied there from 1992 to 1996. He was later appointed an assistant professor in the same school. He received his doctorate at Paris Dauphine University in 1998, under the supervision of Pierre-Louis Lions, and became professor at the École Normale Supérieure de Lyon in 2000. He is now professor at Lyon University. He has been the director of Institut Henri Poincaré in Paris since 2009.
Villani has worked on the theory of partial differential equations involved in statistical mechanics, specifically the Boltzmann equation, where, with Laurent Desvillettes, he was the first to prove how fast convergence occurred for initial values not near equilibrium. He has also written with Giuseppe Toscani on this subject. With Clément Mouhot, he has also worked on nonlinear Landau damping. He has worked on the theory of optimal transport and its applications to differential geometry, and with John Lott has defined a notion of bounded Ricci curvature for general measured length spaces. He received the Fields Medal for his work on Landau damping and the Boltzmann equation. He described the development of his theorem in his autobiographical book Théorème vivant (2012)

Source: http://en.wikipedia.org/wiki/C%C3%A9dric_Villani