June Huh, a mathematician at Princeton University, presents this research talk at the Institute for Advanced Study as part of the kick-off conference for the MPG-IAS-NTU Center, delivered in Wolfensohn Hall. Huh traces how Lorentzian polynomials, a class of multivariate polynomials generalizing log-concavity, connect to matroid theory through the algebraic structure of triangular hyperfields. The talk builds from the combinatorics of matroids toward their representation over these exotic algebraic objects, showing how techniques from convex analysis and tropical geometry help settle questions about realizability and positivity that classical methods could not resolve. Huh, known for applying Hodge theory to combinatorial problems, keeps the argument anchored in concrete examples of matroids throughout rather than staying purely abstract. The audience is mathematicians already fluent in algebraic combinatorics, and the fifty minutes move at the pace of a specialist seminar rather than an introductory survey. It stands as a snapshot of current research at the intersection of combinatorics, algebra, and geometry.