Commutative Algebra to Representation Theory Through the Combinatorics of Filtered RSK

Explore the connections between commutative algebra and representation theory through the lens of combinatorics in this 56-minute lecture by Alexander Yong from the University of Illinois at Urbana-Champaign. Delve into the intricacies of filtered RSK (Robinson-Schensted-Knuth) algorithm and its applications in bridging these mathematical domains. Gain insights into how combinatorial techniques can illuminate complex algebraic structures and their representations. This talk, part of the Fields Institute's program on enumerative geometry, offers a unique perspective on the interplay between algebra, representation theory, and combinatorics, suitable for advanced mathematics students and researchers interested in these interconnected fields.