Conference: A Panorama of Homotopy theory

该奖项为职业生涯早期的美国数学家参加2023年6月5日至9日在英国牛津举行的《同伦理论全景》会议和2023年6月12日至16日在英国剑桥举行的《同伦：肥沃沟壑的果实》会议提供部分支持。在过去的十多年里，同伦理论的技术已经渗透到数学的许多领域。这两个会议的目的是综合和介绍这些发展。该项目的核心目的是支持来自美国的新兴学者的出席和职业发展，既提供学习的机会，也提供展示自己工作的机会。第二周在剑桥，旨在展示新的声音。这一奖项的支持将使来自美国众多大学和不同背景的学者受益；其目的是最大限度地提高对劳动力发展的影响。这些会议将汇集代表形成该学科主要分支的研究方向的主要专家：色、等变和基元化身中的同伦理论、谱代数几何以及与数学物理和表示理论的相互作用。在过去的五年里，所有这些领域都取得了重大进展和变化，这是一段时间以来第一次综合最近重大发展的国际会议。预计这两个会议的出席人数都很多，它们共同成为国际代数拓扑界的主要纽带。有关会议的更多信息可在以下网站上找到：https://www.maths.ox.ac.uk/groups/topology/panorama-homotopy-theory(牛津)和https://www.newton.ac.uk/event/hhhw06/(剑桥)。这一奖项反映了美国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 award provides partial support for the participation of early career US-based mathematicians to attend the conference “A Panorama of Homotopy Theory” June 5-9, 2023, in Oxford, England and the conference “Homotopy: Fruit of the Fertile Furrow” June 12-16, 2023 in Cambridge, England. In the last decade or more, the techniques of homotopy theory have permeated many fields of mathematics. The aim of these two conferences is to synthesize and present these developments. The core purpose of the project is to support the attendance and career development of emerging scholars from the United States, both to supply an opportunity to learn and an opportunity to present their own work. The second week, in Cambridge, is designed to feature new voices. The support from this award will benefit scholars from a broad selection of U.S. universities and diverse backgrounds; the intent is to maximize the effect on workforce development. These conferences will bring together leading experts representing the directions of research which form the main branches of the subject: homotopy theory in chromatic, equivariant and motivic incarnations, spectral algebraic geometry, and interactions with mathematical physics and representation theory. All these fields have seen major advances and changes in the last five years, and this is the first international conference in some time that synthesizes the major recent development. The expected attendance at these two conferences is large, and together they are a major nexus for the international algebraic topology community. More information on the conferences can be found at the websites: https://www.maths.ox.ac.uk/groups/topology/panorama-homotopy-theory (Oxford) and https://www.newton.ac.uk/event/hhhw06/ (Cambridge).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.