Cluster Algebras and Representation Theory - Rothschild Lecture

Explore the fascinating world of cluster algebras and their impact on representation theory in this Rothschild Lecture by Professor Bernhard Keller. Delve into the elementary definition of cluster algebras, invented by Fomin-Zelevinsky around the year 2000, and discover their rich combinatorial structure. Uncover the surprising connections between these commutative algebras and various subjects in mathematics and physics. Examine how the interaction between cluster algebras and representation theory has profoundly influenced both fields. Gain insights into exciting ongoing research in this area and witness the far-reaching implications of these mathematical structures. This 1-hour 16-minute lecture, delivered at the Isaac Newton Institute for Mathematical Sciences, offers a comprehensive survey of cluster algebras and their significance in modern mathematics.