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

近年来，变形的代数和拓扑结构已经引起了重要的结构，如量子群，顶点代数，同伦李代数，这反过来又有重要的联系，与其他领域的数学和物理。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“代数和模的变形理论”的区域会议拟于2011年5月16日至5月20日在北卡罗来纳州州立大学举行，捷克科学院数学研究所的Martin Markl教授将担任首席讲师，他将就代数和模的变形发表10场演讲。Markl教授将对这些看似无关的代数结构进行新的阐述。这反过来又会引起参与的代数学家，拓扑学家以及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，它可能会导致更好地理解同伦李代数的表示。本次会议的一个主要目标是促进新的合作之间的代数学家和拓扑学家工作的各个方面的变形理论。该系列讲座将对美国东南部地区大学的研究生和年轻研究人员具有巨大的教育价值。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接触。它还将有助于吸引东欧优秀的研究生到东南地区的NCSU和其他美国大学。

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.