Some Problems in Equivariant Geometry & Representation Theory

9401018 Lunts教授将研究表示理论和代数几何的基础问题。特别地，他将继续他的研究等变派生范畴的轮系，以期在等变几何和表示理论中的应用。这是代数几何领域的研究。代数几何本身是现代数学中最古老的部分之一，但在过去的四分之一个世纪里，它已经有了革命性的发展。在它的起源中，它处理的图形可以用最简单的方程，即多项式，在平面上定义。如今，该领域不仅使用代数的方法，还使用分析和拓扑的方法，相反，它在这些领域以及物理学、理论计算机科学和机器人技术中也得到了应用。

9401018 Lunts Professor Lunts will work on problems in the foundations of representation theory and algebraic geometry. In particular he will continue his study of the equivariant derived category of sheaves with a view to applications in equivariant geometry and representation theory. This is research in the field of algebraic geometry. Algebraic geometry itself is one of the oldest parts of modern mathematics, but one which has had a revolutionary flowering in the past quarter-century. In its origin, it treated figures that could be defined in the plane by the simplest equations, namely polynomials. Nowadays the field makes use of methods not only from algebra, but from analysis and topology, and conversely is finding application in those fields as well as in physics, theoretical computer science, and robotics.