Professor Mirkovic will study the representation theory of real reductive groups using the ideas of perverse sheaves and D- modules. His program involves a number of projects, among them an attempt to prove a conjecture of Vogan involving characteristic cycles and a study of analytic localization of representations. Group theory is basically the theory of symmetry. To take a simple example, when the system in question is invariant under a change in the position of the origin of space, the group of translations naturally arises. While groups are abstract objects, particular situations demand concrete realizations or "representations" of the symmetry group.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9110165
Program Officer
Kevin F. Clancey
Project Start
Project End
Budget Start
1991-07-01
Budget End
1993-12-31
Support Year
Fiscal Year
1991
Total Cost
$21,680
Indirect Cost
Name
University of Massachusetts Amherst
Department
Type
DUNS #
City
Amherst
State
MA
Country
United States
Zip Code
01003