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.

该项目将于2014年6月与拉斐尔·鲁奎尔（Raphael Rouquier）担任首席发言人，支持北卡罗莱纳州立大学的为期五天的CBMS会议。 Kac-Moody Lie代数及其量子类似物的理论是及时的主题，其应用于其他数学和理论物理学的其他分支。主要发展集中在分类程序上，该计划以基于组合，代数或几何结构的模块类别来实现关键代数结构，例如规范基础。 分类可以更深入地了解原始代数结构并获得新的结构。 在分类量子包围代数时，Khovanov-Lauda和Rouquier独立引入了KLR代数。 作为该领域的发明家和领先的从业人员，Rouquier教授将在该主题上进行十次讲座，旨在向包括研究生在内的研讨会参与者介绍当前的研究并记录可能的未来指示。鲁奎尔教授还将在会议结束后写出CBMS讲座的专着。会议预计将聚集约40名参与者。邀请另外五位发言人协助Rouquier教授的讲座，并谈论分类和更高的代表理论。会议将鼓励妇女，少数民族和残疾人的参与。