Cascade Topology Seminar

摘要奖：DMS-0090101首席研究员：Steven A.Bleiler该奖项将在2001年开始的三年内，为在被称为“级联拓扑研讨会”系列的半年一次的会议上的演讲者和其他人提供部分支持。会议将在美国西北部和加拿大西南部的多所大学举行，包括俄勒冈大学、华盛顿大学和普吉特湾大学，以及博伊西、波特兰和俄勒冈州立大学。通常情况下，将有六名主要演讲者就广泛涉及几何和拓扑学的主题发表演讲，大多数人来自研讨会所在机构以外的机构，总共有50多名参与者，其中大约一半是教师，一半是研究生，偶尔也有本科生。年轻的数学家、女性和少数族裔的参与受到鼓励。在级联拓扑学研讨会的会议上提出的数学广泛安排在拓扑学和几何学上。拓扑学问题包括描述和刻画空间问题的几何和几何方法，例如识别三维空间中的双节曲线是否本质上相同的挑战。研讨会涉及的几何主题包括微分几何，它强调空间曲率的测量和解析问题的曲率结果，以及代数几何，它植根于多项式方程解族的研究。摘要奖：DMS-0090101首席研究员：Steven A.Bleiler该奖项将在从2001年开始的三年内，为被称为“级联专题研讨会”系列会议的演讲者和其他人提供部分支持。会议将在美国西北部和加拿大西南部的多所大学举行，包括俄勒冈大学、华盛顿大学和普吉特湾大学，以及博伊西、波特兰和俄勒冈州立大学。通常情况下，将有六名主要演讲者就广泛涉及几何和拓扑学的主题发表演讲，大多数人来自研讨会所在机构以外的机构，总共有50多名参与者，其中大约一半是教师，一半是研究生，偶尔也有本科生。年轻的数学家、女性和少数族裔的参与受到鼓励。在级联拓扑学研讨会的会议上提出的数学广泛安排在拓扑学和几何学上。拓扑学问题包括描述和刻画空间问题的几何和几何方法，例如识别三维空间中的双节曲线是否本质上相同的挑战。研讨会讨论的几何主题包括微分几何，它强调空间曲率的测量和分析问题的曲率的结果，以及代数几何，它植根于对多项式方程解族的研究。

AbstractAward: DMS-0090101Principal Investigator: Steven A. BleilerThis award will provide partial support for speakers and others atsemiannual conferences in the series known as the ``Cascade TopologySeminar,'' over a three-year period beginning in 2001. Theseconferences will be held at various universities in the northwesternUnited States and southwestern Canada, including the Universities ofOregon, Washington, and Puget Sound, and Boise, Portland, and OregonState Universities. Typically there will be half a dozen principalspeakers on topics ranging widely over geometry and topology, themajority from outside the home institutions of the Seminar, and morethan fifty participants altogether, roughly half of them faculty andhalf of them graduate students, as well as an occasional undergraduatestudent. Participation by younger mathematicians, by women, and byunderrepresented minorities is encouraged.The mathematics presented in meetings of the Cascade Topology Seminarranges widely over topology and geometry. Topological issues includealgebraic and geometric methods for describing and characterizingspatial problems such as the challenge of recognizing whether twoknotted curves in three-space are essentially identical. Geometrictopics addressed in the Seminar include differential geometry, whichemphasizes measures of the curvature of spaces and the consequences ofcurvature for analytic problems, as well as algebraic geometry, whichhas its roots in the study of families of solutions to polynomialequations.AbstractAward: DMS-0090101Principal Investigator: Steven A. BleilerThis award will provide partial support for speakers and others atsemiannual conferences in the series known as the ``Cascade TopologySeminar,'' over a three-year period beginning in 2001. Theseconferences will be held at various universities in the northwesternUnited States and southwestern Canada, including the Universities ofOregon, Washington, and Puget Sound, and Boise, Portland, and OregonState Universities. Typically there will be half a dozen principalspeakers on topics ranging widely over geometry and topology, themajority from outside the home institutions of the Seminar, and morethan fifty participants altogether, roughly half of them faculty andhalf of them graduate students, as well as an occasional undergraduatestudent. Participation by younger mathematicians, by women, and byunderrepresented minorities is encouraged.The mathematics presented in meetings of the Cascade Topology Seminarranges widely over topology and geometry. Topological issues includealgebraic and geometric methods for describing and characterizingspatial problems such as the challenge of recognizing whether twoknotted curves in three-space are essentially identical. Geometrictopics addressed in the Seminar include differential geometry, whichemphasizes measures of the curvature of spaces and the consequences ofcurvature for analytic problems, as well as algebraic geometry, whichhas its roots in the study of families of solutions to polynomialequations.