International Conference on Equivariant Topology and Derived Algebra

该项目支持职业生涯早期的美国数学家参加2019年7月29日至8月2日在特隆赫姆挪威科技大学举行的“等变拓扑学和衍生代数(ETDA)”国际会议的旅费和当地费用。近年来，这些数学研究领域出现了戏剧性的扩展，并在国际上引起了越来越大的兴趣，特别是年轻的研究人员，他们正在将这些领域带入新的方向。这笔资金的直接影响将是增加大约20名初级美国研究人员的培训和职业发展，他们将有机会参加在欧洲举行的一个重要会议。第二个影响是进一步发展美国和欧洲在代数拓扑、派生代数和派生代数几何方面的新兴研究小组之间的合作。会议主题集中在等变稳定同伦理论、导出交换代数和导出代数几何等领域。会议计划包括主要研究人员就所有三个领域的邀请演讲和贡献演讲的时间，重点是年轻研究人员。这次会议将是宣布和讨论近期研究进展所产生的结果和新问题的理想场所。它还将提供一个地方，以加强数学家之间的联系网络，并增加初级研究人员作为新的节点。此外，等变对称么半群结构的特殊主题以及实现这些结构的派生代数正在经历快速发展，并将成为会议谈话的焦点。会议的网站是：https://sites.google.com/view/etda2019/homeThis奖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 project supports the travel and local expenses of early-career US-based mathematicians attending the international conference "Equivariant Topology and Derived Algebra (ETDA)" to be held from July 29 to August 2, 2019 at the Norwegian University of Science and Technology in Trondheim. These mathematical research areas have seen a dramatic expansion in recent years and have attracted increased interest at an international level, especially amongst young researchers, who are taking these fields in new directions. The direct impact of this funding will be to augment the training and career development of approximately twenty junior US researchers, who will gain the opportunity to participate in a major conference in Europe. A secondary impact is to further develop collaboration between emerging research groups in algebraic topology, derived algebra, and derived algebraic geometry in the US and Europe. The conference topics are centered on the areas of equivariant stable homotopy theory, derived commutative algebra, and derived algebraic geometry. The conference program features invited talks on all three areas by leading researchers and time for contributed talks, with a focus on young researchers. The conference will be an ideal venue for results and new questions arising from recent research progress to be announced and discussed. It will also provide a place to reinforce the networks of connections between mathematicians and add junior researchers as new nodes. Moreover, the particular topic of equivariant symmetric monoidal structures, together with the derived algebra that realizes those structures, is experiencing rapid development and will be a focal point of the conference talks. The conference website is: https://sites.google.com/view/etda2019/homeThis 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.