NSF/CBMS Regional Conference on Higher Representation Theory-June 19-23, 2014

NSF/CBMS 更高表征理论区域会议 - 2014 年 6 月 19-23 日

• 批准号: 1347289
• 负责人: Naihuan Jing
• 金额: $ 3.99万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-02-01 至 2015-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1347289&HistoricalAwards=false
• 关键词: NSF; CBMS; Regional; Conference; Higher

This project will support a five-day CBMS conference on "Higher representation theory of Kac-Moody algebras" at North Carolina State University in June 2014 with Raphael Rouquier as the principal speaker. The theory of Kac-Moody Lie algebras and their quantum analogs is a timely topic with various applications to other branches of mathematics and theoretical physics. Major developments have been focused on the categorification program which realizes key algebraic structures, such as canonical bases, in terms of category of modules based on combinatorial, algebraic or geometric structures. Categorification can provide deeper understanding of the original algebraic structures and obtain new structures. In categorification of quantum enveloping algebras, Khovanov-Lauda and Rouquier independently introduced the KLR algebra. As one of the inventors and a leading practitioner in this field, Professor Rouquier will give ten lectures on the subject which aim to introduce workshop participants, including graduate students, to current research and chart possible future directions. Prof. Rouquier will also write up a monograph of the CBMS lectures after the conference. The conference expects to gather about 40 participants. An additional five speakers are invited to assist Professor Rouquier's lectures and to talk about categorification and higher representation theory. The conference will encourage participation from women, minorities, and persons with disabilities.

该项目将支持 2014 年 6 月在北卡罗来纳州立大学举行的为期五天的 CBMS 会议，主题为“Kac-Moody 代数的更高表示理论”，Raphael Rouquier 将担任主要发言人。 Kac-Moody 李代数及其量子类似物的理论是一个及时的话题，在数学和理论物理的其他分支中都有各种应用。主要的发展集中在分类程序上，该程序在基于组合、代数或几何结构的模块类别方面实现了关键代数结构，例如规范基。 分类可以加深对原始代数结构的理解并获得新的结构。 在量子包络代数的分类中，Khovanov-Lauda 和 Rouquier 独立引入了 KLR 代数。 作为该领域的发明者之一和领先实践者，Rouquier 教授将就此主题发表十场讲座，旨在向研讨会参与者（包括研究生）介绍当前的研究并规划未来可能的方向。 Rouquier教授还将在会后撰写CBMS讲座专着。会议预计将聚集约 40 名与会者。另外五位演讲者受邀协助 Rouquier 教授的讲座，并谈论分类和更高表示理论。会议将鼓励妇女、少数民族和残疾人的参与。