Conference: Young Topologists Meeting 2023

该奖项将资助美国参与者参加2023年7月24日至28日在联邦理工学院洛桑举行的第五届青年拓扑学家会议（YTM）。YTM由杰出研究人员的小型课程，以及40个简短演讲和40个海报演示组成，主要由研究生组成。作为世界上最大的会议之一，致力于年轻的研究人员在这一领域，青年数学家提供了一个独特的机会，初级拓扑学家获得经验，会议演示给广大观众，拓宽视野，通过学习不代表在他们的机构的子领域，暴露他们的工作国际拓扑社区，并发展与其他年轻研究人员的合作。此外，YTM旨在通过从代表性不足的群体和在拓扑学中代表性较低的大学中挑选研究生演讲者，并为来自各种背景的学生提供友好和热情的社区，来促进多样性。通过资助美国的参与者，NSF正在促进美国和国际拓扑学界之间的科学思想交流，为来自美国的年轻拓扑学家提供一个环境，使他们能够与未来的国际同事建立研究联系和发展关系，并支持多样性和包容性的文化。两个迷你课程将由Katharine Turner（ANU）主持，关于持久同源变换（PHT），涵盖了这些拓扑变换背后的数学理论，概述了一些统计方法，也调查了各种各样的好的应用程序，从疾病的预后，从脑肿瘤的形状，以确定植物从他们的叶子轮廓，并由马克Hoyois（大学雷根斯堡）对motivic同伦理论的看法，对形式主义的六个函子。后者是格罗滕迪克设计的一个关于同调和上同调的一般范畴框架，它解释和推广了许多非平凡的事实，如庞加莱对偶和莱夫谢茨迹公式。 与会者提供的演讲和海报将涵盖拓扑学的广泛主题，涵盖高等代数、同伦理论、几何学和应用拓扑学。更多信息可以从会议网站获得：https://ytm2023.epfl.ch/This奖项反映了NSF的法定使命，并通过使用基金会的智力价值和更广泛的影响审查标准进行评估，被认为值得支持。

This award will fund US participants attending the fifth yearly installment of the Young Topologists Meeting (YTM) 2023 to be held at the Ecole Polytechnique Federale Lausanne taking place July 24 - 28, 2023. The YTM consists of mini-courses by distinguished researchers, and a line-up of 40 short talks and 40 poster presentations, mostly by graduate students. Being one of the largest conferences in the world dedicated to young researchers in this field, the YTM provides a unique opportunity for junior topologists to gain experience giving conference presentations to a wide audience, broaden their horizons by learning about subfields not represented at their institutions, expose their work to the international topology community, and develop collaborations with other young researchers. Furthermore, the YTM seeks to promote diversity by featuring graduate student speakers from underrepresented groups and from universities that are less well-represented in topology and by providing a friendly and welcoming community for students from all backgrounds. By funding US participants, the NSF is promoting the exchange of scientific ideas between the US and the international topology community, providing a setting for young topologists from the US to make research connections and develop relationships with their future international colleagues, as well as supporting a culture of diversity and inclusion.Two mini courses will be run by Katharine Turner (ANU) on Persistent Homology Transform (PHT), covering the mathematical theory behind these topological transforms, outlining some statistical methodology and also surveying a variety of nice applications from disease prognosis from the shapes of brain tumors to the identification of plants from their leaf contours, and by Marc Hoyois (Uni Regensberg) on motivic homotopy theory with a view towards the formalism of six functors. The latter is a general categorical framework for homology and cohomology devised by Grothendieck, which explains and generalizes many non-trivial facts like Poincaré duality and the Lefschetz trace formula. Participant-contributed talks and posters will cover a wide range of topics in topology, spanning higher algebra, homotopy theory, geometry, and applied topology.More information can be obtained from the conference website: https://ytm2023.epfl.ch/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.