This project is concerned with research related to Flag and Schubert schemes. The principal investigator will work on the following problems: (1) develop a standard monomial theory for Kac-Moody groups; (2) determine the multiplicity of a singular point on a Schubert variety; (3) develop a standard monomial theory for tangent cones at singular points on a Schubert variety; (4) determine the Kazhdan-Lusztig polynomials P(w,t) for w greater than or equal to t; (5) write the equations of the conormal bundle of a Schubert variety; (6) develop a theory of quantum Flag and Schubert schemes in the finite and affine cases. This project is concerned with the study of algebraic groups. It combines three of the oldest areas of "pure" mathematics, algebra, analysis and geometry, yet it is of great interest to physicists working on conformal field theory.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9103129
Program Officer
Ann K. Boyle
Project Start
Project End
Budget Start
1991-07-01
Budget End
1993-12-31
Support Year
Fiscal Year
1991
Total Cost
$56,900
Indirect Cost
Name
Northeastern University
Department
Type
DUNS #
City
Boston
State
MA
Country
United States
Zip Code
02115