Séminaire Calcul Formel

Geometry of tensor networks

by Dr Fulvio Gesmundo (MPI Leipzig)




Tensor network varieties are described by the combinatorial structure of a graph. They play a major role in quantum many-body physics as well as in other areas of applied mathematics, such as algebraic complexity theory and algebraic statistics. In this seminar, I will introduce tensor network varieties, focusing on their geometric features. I will show how to study their dimension, equations, and special subvarieties of interest.