QLunch: The asymptotic spectrum – University of Copenhagen

QMath > Events > Quantum Lunch > w 12 Peter Vrana

QLunch: The asymptotic spectrum

Speaker: Péter Vrana from Budapest University of Technology and Economics

Title: The asymptotic spectrum

Abstract:
Motivated by the study of the asymptotic rank, Volker Strassen introduced in his 1988 paper the asymptotic spectrum of tensors. The asymptotic spectrum is an essentially unique space together with a map associating with each tensor a continuous real-valued function on the space in such a way that direct sum and tensor product correspond to the sum and product, and the asymptotic restriction corresponds to the usual (pointwise) ordering of functions. In my talk I will explain this result and discuss some other problems to which it can be applied along with examples of spectral points.