Geometric and
combinatorial methods
Workshop – Coimbra, July 15-16, 1999
Centro Internacional de Matemática
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,
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
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