3:30 p.m., Friday
Professor Chris Woodward
MSRI and Rutgers University
Eigenvalue Inequalities and Schubert Calculus
Beginning with Weyl, many mathematicians have been interested in the
following question: Given two Hermitian matrices with fixed eigenvalues,
what are the possible eigenvalues of the sum? I will survey some results
on this topic, including a complete solution, and describe a
generalization to unitary matrices. The answers involve the (quantum)
cohomology of the Grassmannian.
Refreshments will be served in Math Annex Room 1115, 3:15 p.m.