学术报告
报告题目：
1. Analogues of symmetric functions in representation theory. I-III
2. Construction of Segal-Sugawara vectors for simple Lie algebras.IV-V
报 告 人： Rozhkovskaya 教授（美国堪萨斯州立大学）
报告时间： 2014年11月30日上午8:30--12:30；下午2:30--5:30
2014年12月1日上午8:30--12:30，下午2:30--5:30
2014年12月2日上午8:30--12:30.
报告地点：4号楼 4318
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数学学院
2014年11月19日
附：
报告1摘要：Symmetric functions (polynomial functions that are invariant with respect to symmetric group) is one of the main tools in study of classical representation theory. They serve as characters of irreducible modules and allow to answer many natural questions (computation of dimensions of modules, decomposition of tensor products etc.). Moving further to other questions of representation theory naturally produces analogues (in various meanings) of symmetric functions. We will review some examples of these analogues with the emphasis, what properties of symmetric functions are inherited in those analogues.
报告2摘要：At the critical level the center of associated to a vacuum module
affine vertex algebra of a simple Lie algebra is a commutative sublagebra described by B. Feigin and E.Frenkel. Recently simple explicit formulas for generators of this subalgebra for classical Lie algebras (Segal-Sugawara vectors) were found by A. I. Molev. We will review this construction from the point of view of invariants of classical Lie algebras and describe how this approach is used in our ongoing project for construction of Segal-Sugawara vectors for exceptional types of Lie algebras.