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Seminario del 2019
Febbraio
18
2019
pagina stampabile
Alessandro Gimigliano
Tensor decomposition and secant varieties
nell'ambito della serie:
TOPICS IN MATHEMATICS 2018/2019
Determining secant varieties (i.e. varieties which are the union of secant lines, planes, etc.) for a given projective variety X is a classical problem in Algebraic Geometry. When X is a Segre Variety, its secant varieties parameterize tensors with assigned tensor rank, and their study is related to the study of tensor decompositions, a quite relevant issue in applied math. In a similar way, secant varieties of Veronese varieties are related to symmetric tensors. In this talk a sketchy view of the state of the art on these problems will be given.
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