Higher Representation Theory and Low-Dimensional Topology

Explore higher representation theory and its connections to low-dimensional topology in this one-hour lecture by Raphaël Rouquier. Delve into the study of symmetries in categories, contrasting it with traditional representation theory's focus on vector spaces. Discover how these structures emerge in geometric representation theory and their role in relating categories. Examine the anticipated relationship between higher representation theory and 4-dimensional topology, with a particular focus on Heegaard-Floer invariants. Gain insights into cutting-edge mathematical concepts at the intersection of algebra, geometry, and topology.