CBMS Regional Conference in Mathematical Sciences--'Quiver Varieties and Crystal Bases for Quantum Affine Algebras'- Spring 2010

CBMS 数学科学区域会议——“量子仿射代数的箭袋品种和晶体基础”——2010 年春季

• 批准号: 0938535
• 负责人: Naihuan Jing
• 金额: $ 3.79万
• 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: 2010
• 资助国家: 美国
• 起止时间: 2010-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0938535&HistoricalAwards=false
• 关键词: CBMS; Regional; Conference; Mathematical; Sciences

NSF/CBMS Regional Conference in Mathematical SciencesQuiver varieties and crystal bases of quantum affine algebras at NCSU, May 25-29, 2010The interaction between quiver representations and Lie theory has sparkled several important developments in mathematics, On the one hand Lusztig's canonical basis or Kashiwara's crystal bases for quantum enveloping algebras have been a key propeller for the developments in Lie theory. On the other hand, Nakajima's work on quiver varieties has lead to new connection among representation theory, geometry and mathematical physics.In order to make this new area of research accessible to a wide audience we are organizing a CBMS conference on "Quiver theory and crystal bases of quantum affine algebras" at North Carolina State University during May 25-29, 2010 with Hiraku Nakajima as the principal speaker. As the inventor of quiver varieties and a leading practioner in this field, Prof. Nakajima will give ten lectures on the subject aiming to introduce graduate students and new comers to the current research and chart possible future directions. We encourage participation from women, minorities, and persons with disabilities by giving priority for financial support.

NSF/CBMS区域数学会议量子仿射代数的箭形簇和晶体基在NCSU，2010年5月25-29日之间的相互作用和李理论之间的相互作用在数学中已经闪耀了几个重要的发展，一方面Lusztig的规范基或Kashiwara的量子包络代数的晶体基已经成为李理论发展的关键推进器。另一方面，中岛的工作，对量子多样性，导致新的连接之间的代表性理论，几何和数学物理。为了使这一新的研究领域获得广泛的观众，我们正在组织一个CBMS会议上“箭袋理论和晶体基地的量子仿射代数”在北卡罗来纳州州立大学在5月25日至29日，2010年，中岛平久（Hiraku Nakajima）担任主讲人。中岛教授作为这一领域的主要实践者和品种的发明者，将就这一主题进行10次演讲，旨在向研究生和新来者介绍当前的研究，并绘制未来可能的方向。 我们鼓励妇女、少数民族和残疾人参与，优先提供财政支持。