Conference/Workshop New Directions in Exterior Differential Systems

摘要奖：DMS 1321212，主要研究者：Joseph M.兰茨贝格，珍妮. Clelland，Colleen RoblesThis赠款为将于2013年7月14日至20日在科罗拉多埃斯蒂斯公园举行的题为“外部微分系统新方向”的会议提供部分支持。 会议的目的是传播新的和有影响力的应用外微分系统的偏微分方程（可积偏微分方程，双曲守恒律系统，控制理论），复杂的微分几何（霍奇结构的变化），拓扑的代数品种（同调刚性舒伯特类在紧凑的埃尔米特对称空间），和抛物几何（包括共形和CR几何）。 会议计划将包括三套迷你课程，旨在开放外部微分系统和他们的一些当前的应用经验不足的研究人员。外部微分系统是代数和几何渲染偏微分方程，植根于思想，可以追溯到十九世纪，解开一些复杂的非线性偏微分方程。外部微分系统的技术正在应用于一个扩大的问题圈，本次会议的迷你课程部分旨在使这个主题可以为初级研究人员和那些在该领域经验很少的人所用。会议网址是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.