Joseph Landsberg
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Title: What can geometry tell us about theoretical computer science?
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Title: On the Complexity of Matrix Multiplication and Other Tensors
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Title: Ch 9: Spaces of tensors admitting normal forms
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Title: Ch 8: Rank vs border rank of tensors and symmetric tensors
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Title: § 6.1,6.2,6.6,6.7 The Alexander-Hirshowitz theorem and dimensions of secant varieties of Segre varieties
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Title: § 5.6 Equations III: Strassen's equations and variants
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Title: § 5.1-5.3 Equations for secant varieties I: special Segre varieties, subspace varieties, flattenings
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Title: § 4.6,7,8 Highest weight vectors, bases of highest weight space. Ideals of Segre, Veronese varieties and homogeneous varieties in general, decomposing S^d(A_1\otimes \cdots \otimes A_n), characters.
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Title: Finish Chap 3 - Terracini's lemma cont'd and applications to computing the dimension of secant varieties. The geometric definition of border rank, projective second fundamental form.
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Title: § 3.3,4,5,6 Tangent spaces to varieties, joins, cones, secant varieties, their dimension, Terracini's lemma.
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Title: Complexity of matrix multiplication, an overview of Ch. 2 including tensors, rank of tensors, and wiring diagrams.
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Title: EDS and the Method of Equivalence Lines and Asymptotic Lines of Projective Varieties
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