NORTHEASTERN UNIVERSITY
MATHEMATICS DEPARTMENT
 
Geometry-Algebra-Singularities-Combinatorics 
Seminar
 
 
Schubert Varieties and Gelfand-Cetlin polytope.  
 
 

Misha Kogan

( Northeastern University)
 
 

Northeastern University

509 Lake Hall

1:30 p.m., Monday, October 30, 2000

 
 
Abstract:   The Gelfand-Cetlin action coordinates, constructed by Guillemin and Sternberg, provide a map from the flag manifold to the Gelfand-Cetlin polytope. By considering preimages of certain faces of the Gelfand-Cetlin polytope we construct new cycles for equivariant cohomology classes of Schubert varieties. These faces are in one-to-one correspondence with rc-graphs, which encode the monomials in the expansions of Schubert polynomials.
 
Home Web page:  Alexandru I. Suciu  Created: Oct 3, 2000   
Maintained by:  Carol Chang  URL: http://www.math.neu.edu/~GASC/gas/kogan.html