Vertex Operator Algebras, Number Theory, and Related Topics

顶点算子代数、数论及相关主题

• 批准号: 1802478
• 负责人: Matthew Krauel
• 金额: $ 3万
• 依托单位: University Enterprises, Incorporated
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-04-01 至 2019-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1802478&HistoricalAwards=false
• 关键词: Vertex; Operator; Algebras; Number; Theory

The conference "Vertex operator algebras, number theory, and related topics" will be held at California State University, Sacramento from June 11-15th, 2018. The conference is designed to bring together a diverse international pool of researchers with expertise in algebra, number theory, and conformal field theory in theoretical physics to discuss a variety of topics related to the intersection of these fields. In particular, a wide range of junior and senior researchers from varying institutions will disseminate recent work, discuss the current state of intersection among their fields, exchange ideas on common problems, and form new collaborations. The conference will focus on two main objectives. First, the dissemination of recent and developing research trends within the focused research areas of number theory, vertex operator algebras (VOAs), and their intersection will help advance the mathematical sciences, allow researchers to stay up to date with developments in the field, and allow participants to form new connections among different research areas. Second, the conference aims to help train and develop young and diverse scientists in the mathematical and physical sciences, while introducing them to new ideas and the international community. Presentations by senior scientists will aid in this process.The conference will include forty research presentations covering a range of topics related to the intersection of vertex operator algebras, number theory, and conformal field theory. This will include topics such as group theory, Lie algebras, modular and other automorphic forms, quantum groups, representation theory, tensor category theory, and theoretical physics, as well as applications and intersections of these areas. Due to the rapidly changing landscape of these mathematical fields, and their intersection with theoretical physics, this conference serves as a timely and important opportunity for the research community to share and disseminate knowledge in order to advance new research developments. An important theme that will be highlighted is the interplay between the theory of VOAs and automorphic forms. The presentations will be chronicled on the conference website. The conference webpage is http://www.csus.edu/math/2018conf.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.

会议“顶点操作员代数，编号理论和相关主题”将于2018年6月11日至15日在萨克拉曼多的加利福尼亚州立大学举行。会议旨在将具有代数理论专业知识的多样化的国际研究人员汇集在一起​​。特别是，来自不同机构的各种初级和高级研究人员将传播最近的工作，讨论其领域之间的当前交集状态，关于常见问题的交换思想并形成新的合作。会议将重点介绍两个主要目标。首先，在数量理论的重点研究领域，Vertex操作员代数（VOAS）及其交集之间的最新研究趋势的传播将有助于推进数学科学，使研究人员能够与该领域的发展保持最新状态，并允许参与者在不同研究领域之间形成新的联系。 其次，该会议旨在帮助培训和发展数学和物理科学的年轻而多样的科学家，同时向他们介绍新思想和国际社会。高级科学家的演讲将有助于这一过程。会议将包括40个研究演示文稿，其中涵盖了与顶点操作员代数，数字理论和保形场理论相关的一系列主题。这将包括诸如群体理论，谎言代数，模块化和其他自动形式，量子组，表示理论，张量类别理论以及理论物理学以及这些领域的应用和相交等主题。由于这些数学领域及其与理论物理学的交汇处的迅速变化，这是研究社区共享和传播知识以推进新的研究发展的及时，重要的机会。将要突出的一个重要主题是VOA理论与自动形式之间的相互作用。演示文稿将在会议网站上进行记录。会议网页是http://www.csus.edu/math/2018conf.this奖，反映了NSF的法定任务，并被认为是值得通过基金会的知识分子和更广泛影响的评估评估标准通过评估来获得支持的。