Effective aspects of the geometry of tensors - Lecture 1 | Vidéo | Carmin.tv

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Effective aspects of the geometry of tensors - Lecture 1

De Giorgio Ottaviani

Apparaît dans la collection : 2022 - Francophone Computer Algebra Days - Journées nationales de calcul formel

We introduce some effective computation of tensor rank and tensor decomposition through apolarity and nonabelian apolarity, with some examples described in detail. The first lecture regards the symmetric case, where symmetric tensors are identified with homogeneous polynomials. The second lecture regards the general case.

Informations sur la vidéo

Date de captation 28/02/2022
Date de publication 17/03/2022
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19893503
Citer cette vidéo Ottaviani, Giorgio (28/02/2022). Effective aspects of the geometry of tensors - Lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19893503
URL https://dx.doi.org/10.24350/CIRM.V.19893503

Domaine(s)

Géométrie algébrique

Bibliographie

J.M. Landsberg. Tensors: geometry and applications, volume 128 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2012. - https://bookstore.ams.org/gsm-128
J.M. Landsberg, G. Ottaviani, Equations for secant varieties of Veronese and other varieties, Annali di Matematica Pura e Applicata, 192 (2013), 569-606 - http://dx.doi.org/10.1007/s10231-011-0238-6
L. Oeding, G. Ottaviani, Eigenvectors of tensors and algorithms for Waring decomposition, Journal of Symbolic Computation, 54 (2013), 9–35 - https://doi.org/10.1016/j.jsc.2012.11.005
J. Hauenstein, L. Oeding, G. Ottaviani, A. Sommese, Homotopy techniques for tensor decomposition and perfect identifiability, J. Reine Angew. Math. 753 (2019), 1-22 - https://doi.org/10.1515/crelle-2016-0067

Codes MSC

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