Seminar za geometriju, vizualizaciju i obrazovanje sa primenama, 14. februar 2013.

• 11. Februar,  2013
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Naredni sastanak Seminara za geometriju, vizualizaciju i obrazovanje  sa primenama biće održan u četvrtak, 13. februara 2013. u 17 časova, u sali 301F, MI. Predviđen je kao zajednički sastanak sa seminarom Odeljenja za matematiku.

Predavač: Vladimir Balan, University Politehnica of Bucharest, Faculty of Applied Sciences, Department of Mathematics-Informatics.

Naslov predavanja: Spectra and eigenspaces associated to anisotropic geometric structures

Sadržaj:

The talk presents the spectral theory for the symmetric covariant tensors related to m-th root type anisotropic metrics, for arbitrary dimension.

The relations between the spectral objects and the geometric background implied by the related Finslerian metrics are determined, and their specific significance to the associated relativistic models is pointed out.

Further, the prolific in applications HO-SVD and Candecomp/Parafac tensor decompositions - which rely on the tensorial spectral data - are shown to have relevance for the underlying geometry.

The developed theory is illustrated by concrete geometric structures for low dimensions, including the cases of Berwald-Moor, Bogoslovski and Chernov alternative STR models.

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