Deciding Positivity of Schubert Coefficients

Explore a 48-minute lecture from UCLA's Institute for Pure & Applied Mathematics where Colleen Robichaux delves into the positivity of Schubert coefficients, a fundamental concept in Algebraic Geometry and Combinatorics. Learn about these nonnegative integers and their significance, including the major open problem of finding their combinatorial interpretation. Discover a positive rule for determining coefficient positivity based on two standard assumptions, developed through joint research with Igor Pak. Gain insights from this presentation delivered at IPAM's Computational Interactions between Algebra, Combinatorics, and Discrete Geometry Workshop, which bridges theoretical mathematics with practical computational approaches.