Conference: Algebraic Cycles, Motives and Regulators

会议：代数环、动机和调节器

• 批准号: 2401025
• 负责人: Deepam Patel
• 金额: $ 1.5万
• 依托单位: Purdue University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-05-01 至 2025-04-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2401025&HistoricalAwards=false
• 关键词: Conference; Algebraic; Cycles; Motives; Regulators

This award is to support US participation in Regulators V, the fifth in a series of international conferences dedicated to the mathematics around the theory of regulators, that will take place June 3-13, 2024, at the University of Pisa. The Regulators conferences are an internationally recognized and well-respected series of conferences on topics surrounding the theory of Regulators, many of which have played a key role in recent breakthroughs in mathematics. The conference will bring together a diverse group of participants at a wide range of career stages, from graduate students to senior professors and provide a supportive environment for giving talks, exchanging ideas, and beginning new collaborations. This has traditionally been a fruitful place for early career researchers in these fields to connect with potential collaborators and mentors at other institutions, working on related topics. This award is mainly to support such participants.Regulators play a central role in algebraic geometry and number theory, being the common thread relating algebraic cycles and motives to number theory and arithmetic. They are the central objects appearing in several well-known conjectures relating L-functions and algebraic cycles, including the Birch--Swinnerton-Dyer conjecture, and conjectures of Deligne, Beilinson, and Bloch-Kato relating special values of L-functions of varieties to algebraic cycles and K-theory. The study of these objects have led to the development of related fields including Iwasawa theory, K-theory, and motivic homotopy theory. They also appear in many areas of mathematics outside algebraic geometry and number theory, most notably in mathematical physics. The topics covered at Regulators V are likely to include recent developments in Iwasawa theory and p-adic L-functions, K-theory, motivic homotopy theory, motives and algebraic cycles, hodge theory, microlocal analysis in characteristic p, and special values of L-functions and additional related areas of research including applications to mathematical physics.Additional information can be found on the conference website: http://regulators-v.dm.unipi.it/regulators-v-web.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.

该奖项旨在支持美国参加 Regulators V，这是一系列致力于围绕监管机构理论的数学问题的国际会议中的第五次会议，该会议将于 2024 年 6 月 3 日至 13 日在比萨大学举行。调节器会议是国际公认且备受推崇的系列会议，主题围绕调节器理论，其中许多会议在数学的最新突破中发挥了关键作用。会议将汇集从研究生到资深教授等各个职业阶段的不同参与者，并为发表演讲、交流想法和开始新的合作提供支持性环境。传统上，这里一直是这些领域的早期职业研究人员与其他机构的潜在合作者和导师建立联系、研究相关主题的富有成果的地方。该奖项主要是为了支持此类参与者。调节器在代数几何和数论中发挥着核心作用，是将代数循环和动机与数论和算术联系起来的共同线索。它们是出现在几个与 L-函数和代数循环相关的著名猜想中的中心对象，包括 Birch--Swinnerton-Dyer 猜想，以及 Deligne、Beilinson 和 Bloch-Kato 涉及簇的 L-函数特殊值的猜想代数环和 K 理论。对这些物体的研究导致了岩泽理论、K理论和动机同伦理论等相关领域的发展。它们还出现在代数几何和数论之外的许多数学领域，尤其是数学物理学。 Regulators V 涵盖的主题可能包括 Iwasawa 理论和 p 进 L 函数、K 理论、动机同伦理论、动机和代数循环、hodge 理论、特征 p 的微局域分析以及 L 的特殊值的最新发展-函数和其他相关研究领域，包括数学物理的应用。其他信息可以在会议网站上找到： http://regulators-v.dm.unipi.it/regulators-v-web.html 该奖项反映了 NSF 的法定使命，并通过使用基金会的智力优点和更广泛的影响审查标准进行评估，被认为值得支持。