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Daily Overview |
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RAG1: Real Algebraic Geometry Location: M627 Session Chair: Daniel Plaumann Session Chair: Claus Scheiderer | |
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Symmetric tensor decomposition on rational varieties and applications 1: Universität Konstanz, Germany; 2: Centre Inria d'Université Côte d'Azur, France This talk investigates a subspace of the space of symmetric tensors (forms) and its properties in relation to (positive) Waring decompositions. Given a polynomial substitution map $q$, we show that $q$-Symmetric forms are precisely those forms that admit a Waring decomposition over the variety $V_q$ parametrized by $q$. After characterizing the structure of this subspace, we focus on the cone of positive $q$-Symmetric forms and its dual. Finally we apply these results to finite dimensional truncated moment problems and present an explicit algorithm for computing Waring decompositions over $V_q$. Based on joint work with S. Kuhlmann and B. Mourrain. | |
