Saturation of Rota's basis conjecture

Abstract

We prove an asymptotic saturation-type version of Rota's basis conjecture. It relies on the connection of Tao's slice rank with unstable tensors from geometric invariant theory.

References in corpus (3)

• On cap sets and the group-theoretic approach to matrix multiplication
• Towards a theory of non-commutative optimization: geodesic first and second order methods for moment maps and polytopes
• The slice rank of a direct sum