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

NSF/CBMS数学科学区域会议，2010年5月25-29日在NCSU举行的量子仿射代数的箭图变种和晶基。箭图表示和李理论之间的相互作用在数学上引发了几个重要的发展，一方面，Lusztig的正则基或Kashiwara的量子包络代数的晶基是李理论发展的关键推进器。另一方面，Nakajima在箭图变种方面的工作导致了表示理论、几何和数学物理之间的新联系。为了使这一新的研究领域能够被广泛的受众所接受，我们将于2010年5月25-29日在北卡罗来纳州立大学组织一次CBMS会议，主题是“量子仿射代数的箭图理论和晶体基础”，主讲人是中岛平久。作为箭袋品种的发明者和该领域的领先实践者，中岛教授将就这一主题举办十场讲座，旨在向研究生和新手介绍当前的研究并规划未来可能的方向。我们鼓励妇女、少数群体和残疾人参与，优先提供财政支持。

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.