Singularities, Toric Geometry and Differential Equations

该奖项支持参加将于2018年3月19日至3月23日在德国开姆尼茨举行的关于“奇点、环面几何和微分方程”的国际会议。在物理、化学和生物现象的数学研究中，微分方程的使用是无处不在的工具，也主导着工程应用。这次会议将汇聚交换代数和微分方程领域的国际专家。该奖项将为一些在美国的研究生和博士后参加这次会议提供资金支持，从而向我们当代发展中的研究人员注入该领域的最新趋势和方法。足够高年级的研究生将有机会在海报会议上展示他们自己的研究。会议的核心将集中在D-模上，这是一个传统上介于奇点理论和表示论之间的数学领域，但它也与拓扑学、代数几何和霍奇理论有着有趣的联系。这些讲座由来自世界各地的国际专家主持，将涉及超几何微分方程式、弦理论的应用、不规则轮和旋转器。关于触摸斯托克斯结构、环面几何、Milnor纤维和奇点拓扑的最新发现将被报道。欲了解更多信息，请访问会议网站：https://www-user.tu-chemnitz.de/~sevc/SingToric2018/。

This award supports participation in an international conference which will take place in Chemnitz (Germany) on "Singularities, Toric Geometry and Differential Equations" from March 19 to March 23, 2018. The use of differential equations is an omnipresent tool in the mathematical investigation of physical, chemical and biological phenomena, and dominates engineering applications as well. The conference will bring together international experts in the areas of commutative algebra and differential equations. The award will provide financial support for a number of US based graduate students and postdocs to attend this conference, thereby infusing our current generation of developing researchers with the latest trends and methods of the area. Sufficiently senior graduate students will have the opportunity of showcasing their own research in a poster session.The core of the meeting will be focused on D-modules, a mathematical area that traditionally sits between singularity theory and representation theory, but which also has intriguing ties with topology, algebraic geometry, and Hodge theory. The talks, given by international experts from around the world, will touch on hypergeometric differential equations, applications to string theory, irregularity sheaves and twistors. Recent discoveries that will be reported on touch Stokes structures, toric geometry, Milnor fibers and topology of singularities. Further information is available at the conference website, https://www-user.tu-chemnitz.de/~sevc/SingToric2018/