Southeastern Lie Theory Workshop Series; Algebraic and Combinatorial Representation Theory (2015: NCSU); Algebraic Groups, Quantum Groups and Geometry (2016: UVA)

东南谎言理论研讨会系列；

• 批准号: 1544407
• 负责人: Kailash Misra
• 金额: $ 4.95万
• 依托单位: North Carolina State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-08-01 至 2018-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1544407&HistoricalAwards=false
• 关键词: Southeastern; Lie; Theory; Workshop; Series

Southeastern Lie Theory Workshops will be held October 9-11, 2015 at North Carolina State University and May 23-26, 2016 at the University of Virginia. These workshops are part of the annual Southeastern Lie Theory Workshop Series held at universities in the southeastern region of USA since 2009. The workshop series website is http://pi.math.virginia.edu/lieworkshops/. The aim of the workshop series is to bring together senior and junior researchers, as well as graduate students, in order to build cohesive research groups in various aspects of Lie theory; to stimulate and enhance research collaborations in Lie theory; and to infuse a strong tradition of research and education in the region. Each workshop is centered on a research theme and will feature one or two main speakers, giving two to three expository talks that will be accessible to graduate students and postdocs in the workshop's theme area. In addition, there will be four to six invited talks by other researchers and contributed talks by junior researchers and advanced graduate students. Considerable time will be devoted to informal discussions among participants in small groups to work on specific research problems led by invited team leaders chosen from among the participants.Algebraic, combinatorial and geometric Lie theory is a major area of mathematical research with important applications to many different areas of mathematics, physics, and computer science. Research in representation theory includes the study of quantized enveloping algebras, quantum function algebras, Kac-Moody Lie algebras, Hecke algebras, canonical bases and crystal bases, vertex operator algebras, Hall algebras, A-infinity algebras, quivers, cluster algebras, Hopf algebras, and Khovanov-Lauda-Rouquier algebras. The research theme for the workshop at NCSU in 2015 will be "Algebraic and Combinatorial Representation Theory" and the research theme for the workshop at UVA in 2016 will be "Algebraic Groups, Quantum Groups and Geometry."

东南谎言理论研讨会将于2015年10月9日至11日在北卡罗来纳州立大学举行，2016年5月23日至26日在弗吉尼亚大学举行。这些研讨会是自2009年以来每年在美国东南部大学举行的东南李理论系列研讨会的一部分。研讨会系列的网站是http://pi.math.virginia.edu/lieworkshops/。该系列研讨会的目的是将高级和初级研究人员以及研究生聚集在一起，以便在李理论的各个方面建立有凝聚力的研究小组；促进和加强李理论的研究合作；并在该地区注入强大的研究和教育传统。每次研讨会都以一个研究主题为中心，并将有一到两位主讲人，在研讨会的主题区域为研究生和博士后提供两到三次说明性演讲。此外，还将有四到六场邀请其他研究人员的演讲，以及初级研究人员和高级研究生的贡献演讲。相当多的时间将用于小组参与者之间的非正式讨论，以解决具体的研究问题，由从参与者中选择的受邀团队负责人领导。代数、组合和几何李论是数学研究的一个主要领域，在数学、物理和计算机科学的许多不同领域都有重要的应用。表征理论的研究包括量子化包络代数、量子函数代数、Kac-Moody Lie代数、Hecke代数、正则基和晶体基、顶点算子代数、Hall代数、a-∞代数、颤振、簇代数、Hopf代数和Khovanov-Lauda-Rouquier代数。2015年NCSU研讨会的研究主题为“代数和组合表示理论”，2016年UVA研讨会的研究主题为“代数群、量子群和几何”。