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Eigenvalues and planar networks

Posted in
Speaker: 
Maria Podkopaeva
Date: 
Tue, 2012-05-15 14:00 - 14:50
Location: 
MPIM Lecture Hall

The Gelfand--Zetlin integrable system is defined by the set of
generalized eigenvalues of hermitian matrices. I will construct a
"tropical analog" of this set using the combinatorics of some weighted
planar graphs. The same methods can be used to give a description of the
Horn inequalities on the eigenvalues of sums of hermitian matrices.

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