Tensors and Their Uses, Especially for Matrix Multiplication - Part 2

Learn about tensors and their applications across multiple fields in this 50-minute lecture from the Complexity and Linear Algebra Boot Camp at Simons Institute. Begin with a gentle introduction to tensors and discover how they emerge in combinatorics, signal processing, geometry, and complexity theory. Focus on the geometric aspects of tensors that are most relevant for understanding the complexity of matrix multiplication. Explore the mathematical foundations and practical applications that make tensors essential tools in computational complexity research and linear algebra.