NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT
 
Geometry-Algebra-Singularities-Combinatorics 
Seminar
 
 
Moment maps and intersection homology of Schubert varieties 
 
 

Tom Braden

(Harvard University)
 
 

Northeastern University

509 Lake Hall

1:30 p.m., Wednesday, April 19, 2000

 
 
Abstract: For a smooth complex algebraic variety $X$ with a suitably nice action of a torus, the equivariant and ordinary cohomology rings can be read off from the zero and one-dimensional orbits, which in turn can be described by its image under the moment map, a graph linearly embedded in $R^d$ . If $X$ is singular, we can hope to calculate the equivariant intersection homology from similar moment map geometry. We give such a description for the case when $X$ is a Schubert variety in the SL(n) flag manifold. (Joint work with Robert MacPherson) 
 
Home Web page:  Alexandru I. Suciu  Created: February 21, 2000   
Maintained by:  Carol Chang  URL: http://www.math.neu.edu/~GASC/gas/braden.html