Conference: Young Topologists Meeting 2023

该奖项将资助参加2023年第五届青年拓扑学家会议(YTM)的美国参与者，该会议将于2023年7月24-28日在洛桑联邦理工学院举行。YTM包括杰出研究人员的迷你课程，以及40个简短演讲和40个海报演示的阵容，其中大部分是研究生。作为世界上最大的致力于该领域年轻研究人员的会议之一，YTM为初级拓扑学家提供了一个独特的机会，让他们获得向广大观众发表会议演讲的经验，通过了解他们所在机构没有代表的子领域来拓宽他们的视野，向国际拓扑界展示他们的工作，并与其他年轻研究人员发展合作。此外，YTM寻求促进多样性，方法是邀请来自代表性不足群体和在拓扑学中代表性较差的大学的研究生演讲者，并为所有背景的学生提供一个友好和欢迎的社区。通过资助美国参与者，NSF正在促进美国和国际拓扑界之间的科学思想交流，为来自美国的年轻拓扑学家建立研究联系并与未来的国际同行发展关系提供了一个环境，并支持多样性和包容性的文化。凯瑟琳·特纳(ANU)将开设两个关于持久同源变换(PHT)的迷你课程，涵盖这些拓扑变换背后的数学理论，概述一些统计学方法，并调查从疾病预测到从脑瘤的形状到植物的叶轮廓识别等各种很好的应用。和Marc Hoyois(Uni Regensberg)关于动机同伦理论的讨论，以期对六个函子的形式主义有所裨益。后者是Grothendieck设计的同调和上同调的一般范畴框架，它解释和推广了许多重要的事实，如Poincaré对偶和Lefschetz迹公式。与会者参与的演讲和海报将涵盖拓扑学、跨越高等代数、同伦理论、几何和应用拓扑学的广泛主题。更多信息可以从会议网站获得：https://ytm2023.epfl.ch/This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 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.