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日在北卡罗来纳州州立大学和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年以来在美国东南部地区大学举行的年度东南部谎言理论研讨会系列的一部分。研讨会系列网站是http://pi.math.virginia.edu/lieworkshops/。该系列研讨会的目的是汇集高级和初级研究人员，以及研究生，以建立在谎言理论的各个方面有凝聚力的研究小组;刺激和加强在谎言理论的研究合作;并注入该地区的研究和教育的强大传统。每个研讨会都以一个研究主题为中心，并将有一个或两个主要发言人，给两到三个临时会谈，将访问研究生和博士后在研讨会的主题领域。此外，还将有4至6个其他研究人员的邀请演讲和初级研究人员和高级研究生的贡献演讲。相当多的时间将专门用于小组参与者之间的非正式讨论，以解决特定的研究问题，由邀请的团队领导人从参与者中选出。代数，组合和几何李群理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。表示论的研究包括量子化包络代数、量子函数代数、卡茨-穆迪李代数、赫克代数、正则基和晶体基、顶点算子代数、霍尔代数、A-无穷代数、箭图、簇代数、霍普夫代数和霍瓦诺夫-劳达-鲁奎尔代数。2015年NCSU研讨会的研究主题是“代数和组合表示理论”，2016年UVA研讨会的研究主题是“代数群，量子群和几何”。"