QLunch: The asymptotic spectrum
Title: The asymptotic spectrum
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.