Conference/Workshop New Directions in Exterior Differential Systems

奖项：DMS 1321212，首席研究员：Joseph M. Landsberg, Jeanne N. Clelland， Colleen robles这项资助将为2013年7月14-20日在科罗拉多州Estes Park举行的名为“外部差动系统新方向”的会议提供部分支持。会议旨在传播外部微分系统在偏微分方程（可积偏微分方程，双曲守恒定律系统和控制理论），复杂微分几何（Hodge结构的变化），代数变体拓扑（紧致埃尔米对称空间中Schubert类的同调刚性）和抛物几何（包括保形几何和CR几何）中的新的和有影响力的应用。会议计划将包括三套迷你课程，旨在向缺乏经验的研究人员开放外部微分系统及其当前的一些应用。外部微分系统是偏微分方程的代数和几何表示，其根源可以追溯到19世纪，它解决了非线性偏微分方程的一些复杂问题。外部微分系统的技术正被应用于越来越广泛的问题中，这次会议的小型课程组成部分旨在使初级研究人员和在该领域缺乏经验的人能够了解这一主题。会议的网址是http://www.math.tamu.edu/~robles/2013EP/index.html。

AbstractAward: DMS 1321212, Principal Investigator: Joseph M. Landsberg, Jeanne N. Clelland, Colleen RoblesThis grant provides partial support for a conference entitled "New Directions in Exterior Differential Systems," to be held in Estes Park, Colorado on July 14-20, 2013. The conference is intended to disseminate new and influential applications of exterior differential systems to partial differential equations (integrable PDE, systems of hyperbolic conservation laws, and control theory), complex differential geometry (variation of Hodge structure), topology of algebraic varieties (homological rigidity of Schubert classes in compact Hermitian symmetric spaces), and parabolic geometries (including conformal and CR geometries). The conference program will include three sets of mini-courses that aim to open up exterior differential systems and some of their current applications to less experienced researchers.Exterior differential systems are algebraic and geometric renderings of partial differential equations, rooted in ideas that go back to the nineteenth century and that untangle some of the complications of nonlinear partial differential equations. The techniques of exterior differential systems are being applied in a widening circle of problems and the mini-course components of this conference are intended to make this subject accessible to junior researchers and to those with little experience in the field. The conference web site is http://www.math.tamu.edu/~robles/2013EP/index.html.