Chromatic Homotopy Theory: Journey to the Frontier

这项国家科学基金会奖为将于2018年5月16日至20日在科罗拉多大学博尔德分校举行的活动《色度同伦理论：前沿之旅》提供了部分支持。这次为期五天的活动将包括一个为期两天的研讨会，然后是一个为期三天的会议。其目标是促进该领域年轻研究人员的工作，同时为来自较小和/或资金不足机构的研究生和早期职业数学家提供机会，在友好和繁荣的环境中与专家见面。确认的会议发言人来自世界各地，包括美国、亚洲和欧洲。这次会议将有助于加强全球拓扑界之间的沟通和合作。这一活动将被拍摄下来并在互联网上提供，从而扩大其影响。关于色同伦理论的资源很少，这些视频也将有助于增加该领域的可及性。色同伦理论是同伦理论中的一个重要分支，近年来在计算和概念上都取得了很大的进展。这些进展通常涉及到代数几何、数论、更高范畴理论，甚至量子场论的相互作用的思想。这次会议的主要科学目的是调查其中的一些联系及其对当今该领域的影响。对受邀演讲者的研究走在了该领域新发展的前沿。他们中的大多数都是早期的职业数学家，他们的工作正在以新的和创新的方式影响着这一学科。会议前的讲习班将包括一个小型课程，涵盖年轻与会者充分受益于会议所需的一些背景知识。色同伦理论方面的一些最好的研究人员将为研讨会的讲座做出贡献。更多信息可在https://sites.google.com/view/chtjourney.This获得，该奖项反映了国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

This National Science Foundation award provides partial support for the event "Chromatic Homotopy Theory: Journey to the Frontier" that will take place May 16-20, 2018 at the University of Colorado, Boulder. This five day event will consist of a two-day workshop followed by a three-day conference. The goal is to promote the work of young researchers in the field, while providing an opportunity for graduate students and early career mathematicians from smaller and/or underfunded institutions to meet the experts in a friendly and thriving environment. Confirmed speakers for the conference come from across the world, including America, Asia and Europe. This meeting will help increase communication and collaboration among the worldwide topology community. The event will be filmed and made available on the internet, thereby broadening its impact. Resources on chromatic homotopy theory are sparse and these videos will also help increase the accessibility of the field. Chromatic homotopy theory is a deep and difficult branch of homotopy theory which has undergone significant computational and conceptual advances in the recent past. These advances often involve ideas at the interplay of algebraic geometry, number theory, higher category theory, and even quantum field theory. The primary scientific aim of this conference is to survey some of these connections and their impact on the field today. The research of the invited speakers is on the forefront of new developments in the field. Most of them are early career mathematicians whose work is influencing the discipline in new and innovative ways. The workshop preceding the conference will consist of a mini-course covering some of the background necessary for younger participants to fully benefit from the conference. Some of the very best researchers in chromatic homotopy theory will be contributing to the lectures of the workshop. More information is available at https://sites.google.com/view/chtjourney.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.