Homotopy Theory in the Ecliptic: Chromatic, Equivariant, and Motivic Mathematics

该奖项为参加于2017年8月18日至21日在俄勒冈州波特兰市里德学院举行的“黄道同伦理论：色、等变和动机数学”会议提供了部分支持。这项活动将汇聚对色、等变和基元同伦理论感兴趣的顶尖研究人员、博士后助理和研究生，在为期三天的研究会议上分享这些领域的最新进展和想法。会议的重点是色、等变和基元同伦理论，这些理论是拓扑学中具有异花授粉历史的分支。这次会议的主要科学目的是促进他们的共同创造互动。这三个领域的交叉一直在不断地取得进展，这些互动对理论的发展和计算的进步都是卓有成效的。其中的焦点是等变基元同伦理论的发展，等变方法对色同伦理论的作用，以及基元方法对球面稳定同伦群计算的影响。被邀请的演讲者站在这些领域最新发展的前沿，他们的工作突出了交叉。详情请浏览会议网站：https://sites.google.com/site/eclipseconference/.。

This award provides partial support for participation in the conference "Homotopy Theory in the Ecliptic: Chromatic, Equivariant, and Motivic Mathematics" held at Reed College, in Portland, Oregon on August 18-21, 2017. This activity will bring together leading researchers, postdoctoral associates, and graduate students interested in chromatic, equivariant, and motivic homotopy theory to share recent progress and ideas in these fields during a three-day research conference. The conference focuses on chromatic, equivariant, and motivic homotopy theory, branches of topology that have a history of cross-pollination. The primary scientific aim of the conference is to further their co-creative interaction. There has been ongoing progress at the intersection of the three fields, and these interactions have been fruitful for both the development of theory and the advancement of computations. Among the topics of focus are the development of equivariant motivic homotopy theory, the role of equivariant methods on chromatic homotopy theory, and the influence of motivic methods on the computations of the stable homotopy groups of spheres. The invited speakers are on the forefront of the recent developments in these fields, and their work highlights the intersections. Details are available on the conference website at https://sites.google.com/site/eclipseconference/.