Topology Conferences at the Pacific Institute for the Mathematical Sciences

该项目建议支持两个主题为拓扑学的会议。太平洋数学科学研究所（PIMS）流形的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省大学举行，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。拓扑学研究对象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。 国际顶级专家将齐聚一堂，讨论最新的发展和应用。PIMS流形几何与拓扑专题讨论会的目标是将在这一领域从事广泛研究的数学家聚集在一起，并为研究人员和研究生提供一个了解新联系的机会。该计划将包括临时和研究会谈的结合，以及非正式接触和交流思想的时间。我们希望在本次活动中能够展示的一些特定主题包括几何结构和流形分析（例如，Ricci流，爱因斯坦度量，特殊完整性）;几何群论和3-流形;几何拓扑（例如，外科手术理论，配边和稳定性）;光滑4-流形和规范理论;辛几何和拓扑。“应用拓扑学和高维数据分析”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。讲习班网站：http://www.pims.math.ca/scientific-event/150629-psgtmhttp://www.pims.math.ca/scientific-event/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