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Seminários do IMPA

Matemática Aplicada e Computacional

Título
Geometry of matrix polynomial spaces
Expositor
Andrii Dmytryshyn

Örebro University and Umeå University, Sweden
Data
Quarta-feira, 3 de julho de 2019, 11:00
Local
Sala 224
Resumo

We study how small perturbations of matrix polynomials may change their
elementary divisors and minimal indices by constructing the closure
hierarchy graphs (stratifications) of orbits and bundles of matrix
polynomial Fiedler linearizations. We show that the stratification graphs
do not depend on the choice of Fiedler linearization which means that all
the spaces of the matrix polynomial Fiedler linearizations have the same
geometry (topology). We also develop the theory for structure preserving
stratification of skew-symmetric matrix polynomials. The results are
illustrated by examples using the software tool Stratigraphy.

This is a joint work with Stefan Johansson (Umeå University), Bo Kågström
(Umeå University), and Paul Van Dooren (Université catholique de Louvain).