We are interested in various aspects of tensor decompositions
studied under the light of algebraic geometry — complex, real,
convex, and tropical.
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First
Session: Thursday, August 1, 3:30pm–6:00pm |
| Giorgio Ottaviani | University of Florence,
Italy |
Counting Singular Vectors of a
Multidimensional Tensor |
| Bernard Mourrain | INRIA Sophia Antipolis,
France |
Tensor Decomposition, Low Rank
Structured Matrix Approximation and Applications |
| Shmuel Friedland | University of Illinois,
Chicago |
On Best
(r1,...,rd) Approximation of
d-Mode Tensors |
| Zach Teitler | Boise State University |
Sum Decomposability of
Polynomials |
| Chris Hillar | University of California,
Berkeley |
Computational Complexity
of Tensor Problems |
|
Second
Session: Friday, August 2, 3:30pm–6:00pm |
| Harm Derksen | University of Michigan, Ann
Arbor |
Ranks and Nuclear Norms
of Tensors |
| Jan Draisma | Technische Universiteit
Eindhoven |
Higher Secants of Sato's
Grassmannian |
| Bruce Reznick | University of Illinois,
Urbana-Champaign |
Writing Forms as Sums of
Higher Powers of Lower Degree Forms |
| Adam Ginensky | MEB Options and EESAT
|
Equations of Secant
Varieties |
| Hirotachi Abo | University of Idaho
|
On Waring's Problem for
Systems of Skew-Symmetric Forms |
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Third
Session: Saturday, August 3, 3:30pm–6:00pm |
| Chris Peterson | Colorado State University |
Algorithms for Tensor Decomposition
via Numerical Homotopy and Optimization |
| Luke Oeding | University of California,
Berkeley |
Eigenvectors of Tensors
and Waring Decomposition |
| Ke Ye | University of Chicago |
The Decomposition of a Matrix into Toeplitz
Matrices |
| Jacob Turner |
Pennsylvania State University |
Contracting Tensor
Networks |
| Greg Blekherman |
Georgia Institute of Technology |
Real Rank of Real
Symmetric Tensors |
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First
Session: Thursday, October 6, 9:30am–12:00pm |
| Giorgio Ottaviani | University of Florence,
Italy |
Decompositions of
Tensors of Small Rank |
| Bernard Mourrain | INRIA Sophia Antipolis,
France |
Border Bases, Hilbert
Scheme and Tensor Decomposition |
| Daniel Erman | Stanford University |
Tensor Complexes |
| Dustin Cartwright | Yale University |
Secant Varieties of
Segre-Veronese Varieties |
| Adam Ginensky | WH Trading |
Determinantal Equations for Secant
Varieties |
|
Second
Session: Thursday, October 6, 3:30pm–6:00pm |
| Harm Derksen | University of Michigan, Ann
Arbor |
Kruskal's Uniqueness
Inequality is Sharp |
| Ke Ye | Texas A&M University |
The Geometry of Tensor Networks |
| Shmuel Friedland | University of Illinois,
Chicago |
A Proof of the
Set-theoretic Version of a Salmon Conjecture |
| Jan Draisma | Eindhoven University of
Technology, Netherlands
|
A Tropical Approach to
Secant Dimensions |
| Hirotachi Abo | University of Idaho
|
Recent
Progress on the Study of Secant Defectivity of
Segre-Veronese Varieties |
|
Third
Session: Friday, October 7, 3:30pm–6:00pm |
| Bruce Reznick | University of Illinois,
Urbana-Champaign |
Some Non-minimal Canonical
Representations of Forms as a Sum of Powers of Linear Forms |
| Zach Teitler | Boise State University |
Ranks and Generalized
Ranks |
| Chris Peterson | Colorado State University |
Geometry of Tensors and
Numerical Decomposition |
| John Rhodes | University of Alaska, Fairbanks
|
Stochastic Models, Tensor
Rank, and Inequalities |
| Luke Oeding | University of California, Berkeley
|
Toward a Salmon Conjecture |