Resolution of Singularities, Valuation Theory and Related Topics

国际数学会议“奇点、估值理论和相关主题的解决方案”将于2020年6月29日至7月3日在墨西哥萨卡特卡斯举行。会议将在萨卡特坎科学、技术和创新理事会举行。会议将致力于奇点理论和估值理论的最新进展。这次会议将使与会者能够与这一领域的领导人建立新的工作关系，并发展持续的合作。NSF将为10名美国与会者提供旅行和住宿支持。资金的重点将是学生、博士后学者和没有联邦支持的年轻参与者。将特别强调支持各种各样的参与者，特别是代表性不足的群体。会议的网页是https://sites.google.com/view/spivakovsky60thbirthday/home?该会议的重点是赋值理论的应用，以解决奇点的积极特征和其他领域的代数几何，交换代数和奇点理论。 除了正特征和混合特征的局部一致化外，还将给出向量场的局部分解和Pierce-Birkhoff猜想的应用。最近在这一领域取得了重大进展，本次会议将在这项工作的作者的会谈中讨论这一进展。 这次聚会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，参与者将从这种互动中受益，并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，并被认为是值得通过使用基金会的智力价值和更广泛的影响审查进行评估来支持的的搜索.

The international mathematical conference ``Resolution of Singularities, Valuation Theory and Related Topics'' will be held from June 29 - July 3, 2020 in Zacatecas, Mexico. The conference will be held at the Zacatecan Council of Science, Technology and Innovation. The conference will be devoted to recent progress in singularity theory and valuation theory. This meeting will allow participants to establish new working relationships with leaders in this area, and to develop ongoing collaborations. NSF will provide travel and lodging support for 10 U.S. based participants to the conference. The emphasis on the funding will be towards students, postdoctoral scholars and young participants who do not have federal support. A particular emphasis will be on supporting a diversity of participants, especially from under-represented groups. The conference webpage is https://sites.google.com/view/spivakovsky60thbirthday/home?authuser=0.The conference is focused on applications of Valuation Theory to Resolution of Singularities in positive characteristic and to other areas of Algebraic Geometry, Commutative Algebra and Singularity Theory. Besides local uniformization in positive and mixed characteristic, applications to local resolution of vector fields and the Pierce-Birkhoff conjecture will be given. 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 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.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.