High-Dimensional Expanders in Pure Mathematics and Computer Science

Explore the fascinating intersection of pure mathematics and computer science through this public lecture delivered by Professor Alex Lubotzky from the Weizmann Institute of Science at the Isaac Newton Institute for Mathematical Sciences. Delve into the theory and applications of high-dimensional expanders, a cutting-edge mathematical concept that bridges abstract mathematical structures with practical computational problems. Learn how these sophisticated mathematical objects extend the classical notion of expander graphs to higher dimensions and discover their profound implications for both theoretical mathematics and computer science applications. Examine the fundamental properties of high-dimensional expanders and understand their role in advancing our knowledge of algebraic topology, group theory, and computational complexity. Gain insights into how these mathematical structures contribute to solving problems in coding theory, cryptography, and algorithm design while appreciating their elegant theoretical foundations in pure mathematics.