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

量子仿射代数的颤振变体和晶体基在李理论中的相互作用已经在数学上取得了一些重要的进展。一方面，量子包络代数的Lusztig的正则基或Kashiwara的晶体基是李理论发展的关键推手。另一方面，Nakajima关于箭囊变异的研究在表示理论、几何和数学物理之间建立了新的联系。为了使这一新的研究领域能够被更广泛的受众所接受，我们将于2010年5月25日至29日在北卡罗莱纳州立大学组织一场CBMS会议，主题是“量子射射代数的颤抖理论和晶体基础”，由中岛平作主讲。作为箭囊品种的发明者和该领域的主要实践者，中岛教授将就此主题进行10次讲座，旨在向研究生和新来者介绍当前的研究并规划可能的未来方向。我们鼓励妇女、少数民族和残疾人参与，优先提供资金支持。

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.