Vertex Operator Algebras, Number Theory, and Related Topics

《顶点算子代数、数论及相关课题》会议将于2018年6月11日至15日在加州州立大学萨克拉门托分校举行。这次会议旨在汇聚在理论物理中具有代数、数论和保形场论专业知识的不同的国际研究人员池，讨论与这些领域的交叉相关的各种主题。特别是，来自不同机构的广泛的初级和高级研究人员将传播最近的工作，讨论各自领域的当前交叉状态，就共同问题交换意见，并形成新的合作。会议将集中讨论两个主要目标。首先，在数论、顶点算子代数及其交集等重点研究领域内传播最新和正在发展的研究趋势将有助于推动数学科学的发展，使研究人员能够跟上该领域的最新发展，并使参与者能够在不同的研究领域之间形成新的联系。第二，会议旨在帮助培养和发展数学和物理科学领域的年轻和多样化的科学家，同时向他们介绍新的想法和国际社会。资深科学家的演讲将有助于这一过程。会议将包括40个研究演讲，涵盖与顶点算符代数的交集、数论和共形场论相关的一系列主题。课程内容包括群论、李代数、模及其他自同构形式、量子群、表象理论、张量范畴理论、理论物理，以及这些领域的应用与交叉。由于这些数学领域的格局迅速变化，以及它们与理论物理的交叉，这次会议为研究界提供了一个及时和重要的机会，分享和传播知识，以推动新的研究发展。将强调的一个重要主题是VOAS理论和自同构形式之间的相互作用。这些发言将被记录在会议网站上。会议网页是http://www.csus.edu/math/2018conf.This奖，反映了国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.