4 papers
Computing moment polytopes -- with a focus on tensors, entanglement and matrix multiplication
Maxim van den Berg, Matthias Christandl, Vladimir Lysikov +3
Tensors are fundamental in mathematics, computer science, and physics. Their study through algebraic geometry and representation theory has proved very fruitful in the context of a…
Self-concordant Schrödinger operators: spectral gaps and optimization without condition numbers
Sander Gribling, Simon Apers, Harold Nieuwboer +1
Spectral gaps play a fundamental role in many areas of mathematics, computer science, and physics. In quantum mechanics, the spectral gap of Schrödinger operators has a long histor…
Explicit non-free tensors
Maxim van den Berg, Matthias Christandl, Vladimir Lysikov +3
Free tensors are tensors which, after a change of bases, have free support: any two distinct elements of its support differ in at least two coordinates. They play a distinguished r…
The moment polytope of matrix multiplication is not maximal
Maxim van den Berg, Matthias Christandl, Vladimir Lysikov +3
Moment polytopes of tensors, the study of which is deeply rooted in invariant theory, representation theory and symplectic geometry, have found relevance in numerous places, from q…