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Personal Profile of Dr. Joseph M. Landsberg

Dr. Joseph M. Landsberg
Texas A&M International University
Department of Mathematics

  2. Summer Graduate School Geometry and Representation Theory of Tensors for Computer Science, Statistics, and other areas

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    Jul 07, 2008
    Monday
    09:15 AM - 10:15 AM
    		  Complexity of matrix multiplication, an overview of Ch. 2 including tensors, rank of tensors, and wiring diagrams.
    Joseph Landsberg (Texas A&M International University)
    Jul 08, 2008
    Tuesday
    10:15 AM - 11:15 AM
    		  § 3.3,4,5,6 Tangent spaces to varieties, joins, cones, secant varieties, their dimension, Terracini's lemma.
    Joseph Landsberg (Texas A&M International University)
    Jul 09, 2008
    Wednesday
    09:00 AM - 10:00 AM
    		  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.
    Joseph Landsberg (Texas A&M International University)
    Jul 10, 2008
    Thursday
    10:15 AM - 11:15 AM
    		  § 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.
    Joseph Landsberg (Texas A&M International University)
    Jul 11, 2008
    Friday
    10:15 AM - 11:15 AM
    		  § 5.1-5.3 Equations for secant varieties I: special Segre varieties, subspace varieties, flattenings
    Joseph Landsberg (Texas A&M International University)
    Jul 14, 2008
    Monday
    10:15 AM - 11:15 AM
    		  § 5.6 Equations III: Strassen's equations and variants
    Joseph Landsberg (Texas A&M International University)
    Jul 15, 2008
    Tuesday
    09:00 AM - 10:00 AM
    		  § 6.1,6.2,6.6,6.7 The Alexander-Hirshowitz theorem and dimensions of secant varieties of Segre varieties
    Joseph Landsberg (Texas A&M International University)
    11:30 AM - 12:30 PM
    		  Ch 8: Rank vs border rank of tensors and symmetric tensors
    Joseph Landsberg (Texas A&M International University)
    Jul 17, 2008
    Thursday
    11:30 AM - 12:30 PM
    		  Ch 9: Spaces of tensors admitting normal forms
    Joseph Landsberg (Texas A&M International University)