NSF/CBMS Regional Conference in the Mathematical Sciences-Deformation Theory of Algebras and Modules- May 16-20, 2011

近年来，代数结构和拓扑结构的变形产生了诸如量子群、顶点代数和同伦李代数等重要结构，而这些结构又与数学和物理的其他领域有着重要的联系。量子群和顶点代数的表示理论比同伦李代数的表示理论更容易理解。NSF/CBMS拟于2011年5月16日至5月20日在北卡罗来纳州立大学举行“代数和模的变形理论”区域会议，由捷克科学院数学研究所的Martin Markl教授担任首席讲师，他将就代数和模的变形发表10场讲座。马克尔教授将对这些看似无关的代数结构作出新的解释。这反过来将在参加会议的代数学家、拓扑学家以及数学物理学家之间产生讨论，以探索变形理论研究的新前沿。希望这将导致参与者之间的研究合作。特别是，这可能会导致对同伦李代数表示的更好的理解。这次会议的一个主要目的是促进在形变理论的各个方面工作的代数学家和拓扑学家之间的新的合作。拟举办的系列讲座对来自美国东南部地区大学的研究生和青年研究人员具有巨大的教育价值。此外，这一系列讲座将有助于加强美国和东欧研究人员之间的研究合作，并为参与活动的美国研究生和初级研究人员提供国际接触。它还将有助于吸引来自东欧的优秀研究生进入NCSU和东南部地区的其他美国大学。

In recent years deformation of algebraic and topological structures has given rise to important structures such as quantum groups, vertex algebras, and homotopy Lie algebras which in turn have important connections with other areas of mathematics and physics. The representation theory of quantum groups and vertex algebras are better understood than the representation theory of homotopy Lie algebras. An NSF/ CBMS regional conference on "Deformation Theory of Algebras and Modules" is proposed to be held at North Carolina State University during the week of May 16 - May 20, 2011 with Professor Martin Markl of the Mathematical Institute of the Czech Academy as the principal lecturer who will deliver ten lectures on deformations of algebras and modules. Professor Markl will shed new light on these seemingly unrelated algebraic structures. This in turn will generate discussions among participating algebraists, topologists as well as mathematical physicists to explore new frontiers of research in deformation theory. It is hoped that this will lead to research collaborations among participants. In particular, it may result in a better understanding of the representations of homotopy Lie algebras.A major objective of this conference is to foster new collaborations among algebraists and topologists working on various aspects of deformation theory. The proposed lecture series will be of immense educational value to the participating graduate students and young researchers from universities in the southeastern region of USA. Furthermore, this lecture series will help enhance the research collaborations between researchers in USA and Eastern Europe, and provide international exposure to participating US graduate students and junior researchers. It will also help attract strong graduate students from Eastern Europe to NCSU and other US universities in the southeastern region.