Introduction to Tensor Networks: from Numerical Analysis to Moduli Spaces and Monoidal Categories (Rik Voorhaar, University of Geneva)

04.10.2021 17:00

Tensor networks are a popular tool in mathematics, physics and chemistry to store and manipulate large tensors (multi-dimensional arrays) in an efficient manner. Tensor networks are higher-order generalizations of matrix decompositions. Besides being a useful tool, they are also interesting mathematical objects. Their study is an interesting blend between algebraic/differential geometry and numerical analysis.

In this talk I will introduce the notion of tensor networks, and explain why they're so useful. I will explain the notation of Penrose diagrams (those familiar with monoidal categories will find this familiar). Then I will describe some of the most popular 'formats' of tensor networks. These formats can be described by smooth manifolds or algebraic varieties, and I will explain why this point of view is useful.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Graduate Seminar

Organisé par

Section de mathématiques

Intervenants

Rik Voorhaar, University of Geneva

entrée libre

Classement

Catégorie: Séminaire

Mots clés: graduate seminar

Plus d'infos

Contact: missing email