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这笔赠款为将于2013年7月14-20日在科罗拉多州埃斯特斯公园举行的题为“外部差分系统的新方向”的会议提供部分支持。会议的目的是推广外微分系统在偏微分方程组(可积偏微分方程组、双曲守恒律系统和控制理论)、复微分几何(Hodge结构的变化)、代数簇的拓扑(紧Hermite对称空间中Schubert类的同调刚性)和抛物几何(包括共形几何和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效果图，植根于19世纪的思想，解开了非线性偏微分方程的一些复杂性。外部微分系统的技术正被应用于更广泛的问题圈中，本次会议的迷你课程部分旨在使初级研究人员和在该领域缺乏经验的人能够接触到这一主题。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.