Finite-Dimensional Generalized Nil-Coxeter and Nil-Temperley-Lieb Algebras

Explore a 55-minute lecture from the Combinatorial Methods in Enumerative Algebra program at the International Centre for Theoretical Sciences that delves into finite-dimensional generalized nil-Coxeter and nil-Temperley-Lieb algebras. Part of a comprehensive two-week program bringing together experts in zeta functions, group theory, and combinatorial mathematics, this lecture contributes to the broader discussion of algebraic counting problems and their relationship to generating functions. Learn about the intersection of asymptotic group theory and ring theory while understanding how these algebraic structures connect to various zeta and L-functions. Delivered in the Ramanujan Lecture Hall at ICTS Bengaluru, this presentation aligns with the program's goal of training young researchers in enumerative algebra and fostering connections between different mathematical disciplines.