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Description: |
This talk is a report on recent work with Cristina Caldeira concerning invariant factors of products of matrices over the class of elementary divisor domains. For an nxn matrix over such a ring R, and a pure submodule of R^n, we define a new type of "Rayleigh functional" and use it to establish extremal characterizations for scattered products of invariant factors of the matrix. A recent result on intersections of Schubert varieties over an arbitrary field is then applied to obtain very general divisibility relations for invariant factors of products of matrices. This extends results obtained by several authors, with different techniques, for more particular classes of rings.
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Date: |
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| Start Time: |
15:00 |
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Speaker: |
Joao Filipe Queiró (CMUC, Univ. Coimbra)
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Institution: |
CMUC-Universidade de Coimbra
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Place: |
Room 5.5 DMUC
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| Research Groups: |
-Algebra and Combinatorics
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See more:
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