Effective aspects of the geometry of tensors - Lecture 2 | Vidéo | Carmin.tv

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Effective aspects of the geometry of tensors - Lecture 2

By Giorgio Ottaviani

Appears in 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.

Information about the video

Date of recording 01/03/2022
Date of publication 17/03/2022
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19893703
Cite this video Ottaviani, Giorgio (01/03/2022). Effective aspects of the geometry of tensors - Lecture 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19893703
URL https://dx.doi.org/10.24350/CIRM.V.19893703

Domain(s)

Algebraic Geometry

Bibliography

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

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