Travel: Model Theory of Valued Fields at CIRM

该项目将支持美国数学家，特别是研究生和应届博士参加将于 2023 年 5 月 29 日至 2023 年 6 月 2 日在法国卢米尼国际数学竞赛中心举办的有价值域模型理论研讨会。本次会议的目的是介绍有价值域模型理论的最新重大进展。这次会议将汇集来自模型理论界的研究人员和其他数学领域的科学家，他们见证了模型理论方法在估值理论、非阿基米德几何和相关主题中的成功应用。 该研讨会将是传播有价值领域模型理论工作的主要场所，包括全球有价值领域的结果、动机整合、o-极小性中跨系列的使用、满足模型理论驯服条件的有价值领域的表征以及有价值领域中的虚数或商等主题。此次会议引发的直接互动预计将带来新的合作。会议网站为 https://conferences.cirm-math.fr/2761.html 该奖项反映了 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 project will support the participation of US-based mathematicians, particularly graduate students and recent PhDs, in the workshop Model Theory of Valued Fields to be held at the Centre International de Rencontres Mathématiques in Luminy, France, from the 29th of May 2023 to the 2nd of June 2023. The aim of this meeting is to present recent major developments in the model theory of valued fields. The meeting will bring together researchers from the model theory community with scientists working in other fields of mathematics which have witnessed successful applications of model theoretic methods in valuation theory, nonarchimedian geometry, and related topics. The workshop will be the principal venue for dissemination of work on the model theory of valued fields including results on globally valued fields, motivic integration, the use of transseries in o-minimality, characterizations of valued fields satisfying model theoretic tameness conditions, and imaginaries or quotients in valued fields, amongst other topics. Direct interactions occasioned by this meeting are expected to result in new collaborations. The conference website is at https://conferences.cirm-math.fr/2761.htmlThis 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.