Geometric and combinatorial methods
in the Hermitian sum spectral problem

Workshop – Coimbra, July 15-16, 1999

Centro Internacional de Matemática
Centro de Matemática da Universidade de Coimbra

Organizers: E. Marques de Sá, J. F. Queiró, A. P. Santana

 

A problem in matrix theory which has interested mathematicians for many years is the following: Given two Hermitian matrices A and B, describe the spectrum of A+B in terms of the spectra of A and B. Recently there were decisive developments in this problem, with contributions from algebraic geometry, representation theory, combinatorics and harmonic analysis. The workshop will gather experts from different fields who have worked on this problem, and will take place just before the Barcelona ILAS meeting.
 

Thursday, July 15

10h30-11h30
Andrei Zelevinsky, Northeastern University, Boston, Massachusetts, USA
Tensor product multiplicities via generalized minors and tropical calculus

11h45-12h45
Alexander Klyachko, Bilkent University, Ankara, Turkey
Random walks on symmetric spaces and singular spectrum of matrix products

14h30-15h30
Allen Knutson, Brandeis University, Waltham, Massachusetts, USA
The honeycomb model and its applications to the saturation conjecture

15h45-
Contributed talks

19h30 Workshop dinner.
 

Friday, July 16

10h30-11h30
Norman Wildberger, University of New South Wales, Sydney, Australia
Hypergroups and sums of Hermitian matrices

11h45-12h45
Jane Day, San Jose State University, San Jose, California, USA
An outline for proving Horn's conjecture following his approach

14h30-15h30
Shmuel Friedland, University of Illinois, Chicago, Illinois, USA
On generalizations of Klyachko's theorem
 

Room 2.4
Departamento de Matemática
Universidade de Coimbra
 

Short courses by A. Klyachko, N. Wildberger and A. Zelevinsky, July 12-14, 1999

Travel information | Coimbra hotel information