Uniform matrix product states from an algebraic geometer's point of view

December 14th, 2018
Versione stampabile

Venue: Room A108 - Polo Ferrari 1
Time: 14.30

Speaker: 

  • Tim Seynnaeve - Max-Planck-lnstitute for Mathematics in the Sciences, Leipzig (Germany)

Abstract
Matrix product states provide a way to represent special tensors in an efficient way. Uniform matrix product states are symmetric analogs of matrix produt states. We apply methods of algebraic geometry to study the geometric locus of tensors that can be represented as uniform matrix product states. In particular, we study when this set is closed, when it is of expected dimension, and when we have identifiability. This talk is based on joint work in progress with Adam Czaplinski and Mateusz Michalek.

Scientific Coordinator: dr. Iacopo Carusotto