Mathematical Sciences: 1991 Summer Research Institute on "Algebraic Groups and their Generalizations"

在过去的二十年里，很少有数学领域像代数群理论那样得到了广泛的发展。无限维李代数理论、代数群（如量子群）的非交换代数几何类似物以及表示理论的最新发展表明，对最近的进展进行全面评估可能是有序的。这笔拨款将用于支持1991年7月8日至28日在宾夕法尼亚州立大学举行的1991年代数群及其推广夏季研究所。这个为期三周的研究所是由美国数学学会赞助的系列活动中的第39个，该系列活动将对某一特定数学研究领域感兴趣的数学家团体聚集在一起。重点是在相关领域的杰出数学家的研讨会和讲座中进行非常高水平的教学，以促进参与者之间的互动，同时拓宽他们的数学观点。

In the last twenty years, few areas of mathematics have developed as extensively as the theory of algebraic groups. Recent developments in the theory of infinite dimensional Lie algebras, in noncommutative algebraic geometric analogues of algebraic groups such as quantum groups, and in representation theory, suggest that an overall assessment of recent progress might be in order. This grant will support the 1991 Summer Research Institute on Algebraic Groups and their Generalizations, to be held at Pennsylvania State University, July 8-28, 1991. The three week institute is the thirty-ninth in a series sponsored by the American Mathematical Society which brings together groups of mathematicians interested in a particular field of mathematical research. Emphasis is placed on instruction at a very high level with seminars and lectures by distinguished mathematicians in related fields, to promote interaction between participants while broadening their mathematical perspectives.