Workshop
Geometry and asymptotics in the study of tensors
Abstract
In the last decades, tensors have become central in several areas of pure and applied mathematics, leading to the rediscovery of many classical results and constructions across different languages and fields. In applied areas such as computational complexity and quantum information theory, there is significant interest in certain asymptotic properties of tensors, and often classical algebraic and geometric techniques have been successfully adapted to the asymptotic framework.
In this talk, I will provide an overview of some of these research directions, focusing on different notions of tensor rank and tensor complexity and on the role of algebraic geometry in this area of study.