Formulas for quiver varieties and Stanley symmetric functions
Anders Buch
MIT
November 10,
4:15pm
refreshments at 3:45pm
2338
ABSTRACT

A quiver variety is a general type of degeneracy locus obtained by putting
arbitrary rank conditions on a sequence of vector bundles with maps
between them. Fulton and I proved a formula for the cohomology class of a
quiver variety, which expresses this class as a linear combination of
products of Schur polynomials. We have conjectured that the coefficients
in this linear combination are nonnegative and given by a generalized
LittlewoodRichardson rule. I will describe this conjecture, as well as
applications of the formula to Schubert polynomials and Stanley symmetric
functions.

Speaker's Contact Info: abuch(atsign)math.mit.edu
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