Lattices and Tableaux - Lecture 2

Explore a 53-minute lecture from the Combinatorial Methods in Enumerative Algebra program that delves into the mathematical concepts of lattices and tableaux. Learn from Josh Maglione at the International Centre for Theoretical Sciences as part of a comprehensive program focused on algebraic counting problems and generating functions. Gain insights into how zeta functions serve as tools in asymptotic group theory and ring theory, with emphasis on their Euler product decompositions and rational local factors. Discover how this lecture connects to broader topics including Dirichlet's zeta function, Witten's zeta function, and Hasse-Weil zeta functions, which encode various mathematical structures and relationships. Participate in a program designed to train emerging researchers in enumerative algebra while building connections between combinatorial areas and asymptotic group and ring theory.