Geometry of Tensors: Open problems and research directions

2023/04/20 by Gesmundo, Fulvio
#Algebraic Geometry (math.AG) #Computational Complexity (cs.CC) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2304.10570

Abstract

This is a collection of open problems and research ideas following the presentations and the discussions of the AGATES Kickoff Workshop held at the Institute of Mathematics of the Polish Academy of Sciences (IMPAN) and at the Department of Mathematics of University of Warsaw (MIM UW), September 19-26, 2022.

Related

• A short course on Tensor algebra and analysis, with applications to differential geometry
• Tensor-Triangular Geometry and Interactions
• Tensor Calculus
• Report on "Geometry and representation theory of tensors for computer science, statistics and other areas."
• Principles of Differential Geometry