The University of Michigan Combinatorics Seminar
Fall 2004
November 12, 4:10-5:00, 3866 East Hall



Rational functions and real Schubert calculus

Michael Shapiro

Michigan State University

Abstract

We single out some Schubert calculus problems for subspaces of codimension 2 that have the property that all their solutions are real whenever the data are real. Our arguments explore the connection between subspaces of codimension 2 and rational functions of one variable.

This is joint work with A.Gabrielov, A.Eremenko, and A.Vainshtein.