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

近年来，代数和拓扑结构的变形产生了重要的结构，如量子群、顶点代数和同伦李代数，这些结构反过来又与数学和物理的其他领域有重要的联系。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关于“代数和模块的变形理论”的区域会议将于2011年5月16日至5月20日在北卡罗莱纳州立大学举行，捷克科学院数学研究所的Martin Markl教授将担任首席讲师，他将发表10篇关于代数和模块变形的讲座。马克尔教授将对这些看似无关的代数结构给出新的解释。这反过来又会引起参与的代数学者、拓扑学家和数学物理学家之间的讨论，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，它可能导致更好地理解同伦李代数的表示。这次会议的一个主要目标是促进在变形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。本次讲座对美国东南地区的研究生和青年研究人员具有重要的教育价值。此外，该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，并为参与的美国研究生和初级研究人员提供国际机会。它还将有助于吸引来自东欧的优秀研究生到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.