Introduction to the Geometry of Tensors

Dive into a comprehensive lecture on tensor geometry presented by Joseph Landsberg from Texas A&M University. Explore the fundamental concepts of tensors and their geometric properties in this first part of a two-part series. Gain insights into how a geometric perspective enhances applications of tensors, illustrated through practical examples. Learn about the gentle introduction to tensors, their geometric interpretation, and the importance of this approach in advancing various applications. This 1-hour 12-minute talk, part of the "Tensor Methods and Emerging Applications to the Physical and Data Sciences Tutorials 2021" series, provides a solid foundation for understanding the geometry of tensors and its relevance in both physical and data sciences.