Topology Conferences at the Pacific Institute for the Mathematical Sciences

该项目建议支持两个主题为拓扑的会议。太平洋数学科学研究所（PIMS）流形几何和拓扑研讨会将于2015年6月29日至7月7日在不列颠哥伦比亚大学举行，应用拓扑和高维数据分析会议将于2015年8月17日至28日在维多利亚大学举行。拓扑学研究物体的形状以及它们如何变形。它在科学和工程的各种学科中起着关键作用。顶级国际专家将齐聚一堂，讨论最新的发展和应用。这笔赠款将使来自美国的年轻研究人员和学生能够参加这些会议。PIMS流形几何和拓扑研讨会的目的是汇集在这一领域广泛主题的数学家，并为研究人员和研究生提供学习新联系的机会。该计划将包括说明性和研究性会谈，以及非正式接触和思想交流的时间。我们希望在这次活动中表现的一些特定主题包括几何结构和流形的分析（例如，里奇流，爱因斯坦度量，特殊完整）；几何群论与3-流形；几何拓扑学（如外科理论、协共性和微分同态的稳定性）；光滑4流形与规范理论；辛几何和拓扑。“应用拓扑学与高维数据分析”会议旨在将应用拓扑学家和空间统计学家聚集在一起，解释他们的研究并发展他们之间的互动，以及让学生接触这个新兴的跨学科领域。工作室的网站:http://www.pims.math.ca/scientific-event/150629-psgtmhttp: / / www.pims.math.ca科学活动/ 150817 - athdda

This project proposes to support two conferences in the subject known as topology. The Pacific Institute for the Mathematical Sciences (PIMS) Symposium on the Geometry and Topology of Manifolds is to be held June 29-July 7, 2015, at University of British Columbia and the Applied Topology and High-Dimensional Data Analysis conference is to be held August 17-28, 2015, at the University of Victoria. Topology studies the shape of objects and how they can be deformed. It plays a key role in a variety of disciplines in science and engineering. Top level international experts will come together to discuss recent developments and applications. This grant will enable young researchers and students from the United States to attend these meetings.The PIMS Symposium on Geometry and Topology of Manifolds has as its objective to bring together mathematicians working on a broad range of topics in this area, and provide an opportunity for researchers and graduate students to learn about new connections. The program will include a combination of expository and research talks, as well as time for informal contacts and exchanges of ideas. Some particular themes that we hope will be represented during this activity include geometric structures and analysis on manifolds (e.g., Ricci flow, Einstein metrics, special holonomy); geometric group theory and 3-manifolds; geometric topology (e.g., surgery theory, cobordism and stability of diffeomorphisms); smooth 4-manifolds and gauge theory; symplectic geometry and topology. The conference "Applied Topology and High-Dimensional Data Analysis" aims to bring together applied topologists and spatial statisticians to explain their research and develop interactions between them, as well as to expose students to this emerging interdisciplinary field. Workshops' websites:http://www.pims.math.ca/scientific-event/150629-psgtmhttp://www.pims.math.ca/scientific-event/150817-athdda