Conference: Resolution of Singularities, Valuation Theory and Related Topics

该奖项支持美国参与者参加将于2024年8月5日至9日在墨西哥莫雷利亚举行的“解决奇点、估值理论和相关主题”会议。会议将在莫雷利亚墨西哥国立自治大学数学科学中心举行。美国国家科学基金会将为参加会议的12名美国与会者提供大量的旅行和住宿支持。该基金将提供给没有其他联邦支持的学生、博士后学者和其他美国参与者。将特别强调支持参与者的多样性，特别是来自代表性不足群体的参与者。会议的重点是应用估值理论解决奇点的正特征和其他领域的代数几何，交换代数和奇点理论。最近，这一领域取得了重大进展，本次会议将由这项工作的作者在会谈中介绍这一进展。这次会议将为来自不同领域的研究人员提供一个相互交流和建立研究联系的机会；特别是，与会者将受益于这种相互作用，以及看到该领域的最新发展及其与其他领域的关系。该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知识价值和更广泛的影响审查标准进行评估，认为值得支持。

This award supports US-based participants in a conference on ``Resolution of Singularities, Valuation Theory and Related Topics'' which will be held from August 5 - 9, 2024 in Morelia, Mexico. The conference will be held at Centro de Ciencias Matematicas, UNAM, Morelia. NSF will provide significant travel and lodging support for 12 U.S. participants to the conference. The funding will be for students, postdoctoral scholars and other U.S. participants who do not have other federal support. A particular emphasis will be on supporting a diversity of participants, especially from under-represented groups.The focus of the conference is on applications of valuation theory to resolution of singularities in positive characteristic and to other areas of algebraic geometry, commutative algebra and singularity theory. Recently, there have been significant advances in this area, and this conference will cover this progress in talks by the authors of this work. The proposed gathering will provide an opportunity for researchers from diverse fields to interact and establish research connections with each other; in particular, the participants will benefit from this interaction and from seeing recent developments in the field and its relationships with other areas. The conference webpage is https://sites.google.com/view/spivakovsky60thbirthday/home/authuser=0This 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.