Geometric methods in the study of tensor networks
- Fulvio Gesmundo (MPI MiS, Leipzig)
Tensor networks arise in the quantum many-body physics to study systems with a particular combinatorial structure. Similar mathematical objects are central in several other areas of pure and applied mathematics.
In this talk, I will provide an overview of some recent achievements obtained using geometric methods. I will briefly focus on two aspects: characterizing membership in certain varieties of interest via representation theory, and using variational techniques and classical algebraic geometry to obtain elements satisfying a desired optimality condition.