Zusammenfassung für den Vortrag am 21.02.2022 (15:20 Uhr)

Nonlinear Algebra Seminar Online (NASO)

Fulvio Gesmundo (MPI MiS, Leipzig)
Geometric methods in the study of tensor networks
Siehe auch das Video dieses Vortrages.

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.