Singularities, Toric Geometry and Differential Equations

奇点、环面几何和微分方程

基本信息

批准号：
1762086
负责人：
Hans Ulrich Walther
金额：
$ 1.5万
依托单位：
Purdue University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-02-01 至 2019-01-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1762086&HistoricalAwards=false
关键词：
Singularities Toric Geometry Differential Equations

项目摘要

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/

该奖项支持将于2018年3月19日至3月23日在Chemnitz（德国）举行的有关“奇异性，复曲线几何和微分方程”的国际会议。使用微分方程是对物理，化学和生物学现象的数学研究中的无所不在的工具，以及工程现象的数学研究。该会议将汇集到交换代数和微分方程领域的国际专家。该奖项将为许多基于美国的研究生和博士后参加本次会议提供财政支持，从而为我们当前的发展研究人员注入了该地区的最新趋势和方法。足够高的高级研究生将有机会在海报会议上展示自己的研究。会议的核心将集中在D-Modules上，D-Modules是一个传统上位于奇异理论和表示理论之间的数学领域，但也与拓扑，代数的几何学和Hodge理论具有有趣的联系。来自世界各地的国际专家进行的谈判将涉及高几幅微分方程，弦理论的应用，不规则滑轮和扭曲器。最新的发现将报道有关触摸stokes结构，复曲面几何形状，米尔诺纤维和奇异拓扑的发现。更多信息可在会议网站https://www-user.tu-chemnitz.de/~sevc/singtoric2018/上获得。