Geometry of tensor networks

par Dr Fulvio Gesmundo (MPI Leipzig)

jeudi 14 oct. 2021, 10:30 → 11:30 Europe/Paris

https://bbb.unilim.fr/b/vac-m6r-7dv

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.