Logo

Mathematical Sciences Research Institute

Home » Joseph landsberg

Personal Profile of Dr. Joseph M. Landsberg

Dr. Joseph M. Landsberg
Department of Mathematics
  1. Summer Graduate School Geometry and Representation Theory of Tensors for Computer Science, Statistics, and other areas

    Show All Collapse
    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)