Cascade Topology Seminar

摘要奖：DMS-0090101主要研究者：Steven A.该奖项将在2001年开始的三年内为被称为“级联拓扑研讨会”的半年一次的系列会议上的发言者和其他人提供部分支持。这些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、普吉特海湾大学、博伊西大学、波特兰大学和俄勒冈州立大学。 通常情况下，将有六个主要发言人的主题范围广泛的几何和拓扑结构，大部分来自研讨会的家庭机构以外，总共有五十多名参与者，大约一半是教师，一半是研究生，偶尔也有本科生。鼓励年轻的数学家、妇女和代表性不足的少数民族参与。级联拓扑研讨会会议上提出的数学广泛涉及拓扑和几何。 拓扑问题包括几何学和几何方法描述和表征空间问题，如识别三空间中的两条打结曲线是否基本相同的挑战。 研讨会上讨论的几何主题包括微分几何，它强调空间曲率的测量和曲率对分析问题的影响，以及代数几何，它的根源是研究多项式方程的解族。该奖项将在2001年开始的三年内为被称为“级联拓扑研讨会”的半年一次的系列会议上的发言者和其他人提供部分支持。这些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、普吉特海湾大学、博伊西大学、波特兰大学和俄勒冈州立大学。 通常情况下，将有六个主要发言人的主题范围广泛的几何和拓扑结构，大部分来自研讨会的家庭机构以外，总共有五十多名参与者，大约一半是教师，一半是研究生，偶尔也有本科生。鼓励年轻的数学家、妇女和代表性不足的少数民族参与。级联拓扑研讨会会议上提出的数学广泛涉及拓扑和几何。 拓扑问题包括几何学和几何方法描述和表征空间问题，如识别三空间中的两条打结曲线是否基本相同的挑战。 在研讨会上讨论的几何主题包括微分几何，它强调空间曲率的措施和解析问题曲率的后果，以及代数几何，它有其根源在家庭的解决方案的研究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.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.