ABSTRACT: We will discuss the geometric meaning of equivariant Poincare duals of orbits of Lie group representations (also called as "Thom polynomials", "degeneracy loci formulae", "equivariant first obstructions"), together with an effective method to compute them. We will apply this theory to quiver representations corresponding to Dynkin graphs, a natural generalization of the Giambelli - Thom - Porteous formula. In this application we will use the category of modules over the path algebra of the quiver. For A_n graphs the relation with double Schubert polynomials will be presented.

For further information visit the Seminar web site at http://www.northeastern.edu/martsinkovsky/p/rtrt.html  or contact Alex Martsinkovsky <alexmart@neu.edu>