Lorentzian Polynomials and Matroids Over Triangular Hyperfield

This lecture explores Lorentzian polynomials and matroids over triangular hyperfields, presented by Oliver Lorscheid from Groningen, Netherlands. Delve into the intersection of combinatorial methods with algebraic geometry and number theory as part of the "Combinatorial Synergies in Geometry and Number Theory" workshop organized by the Instituto de Matemática Pura e Aplicada (IMPA). The workshop brings together early-career mathematicians and specialists to enhance combinatorial approaches in studying geometric and arithmetic structures. The event features mini-courses by Kris Shaw and Farbod Shokrieh, along with presentations from renowned mathematicians including Frederico Ardila, Carolina Benedetti, and others exploring topics from tropical geometry to matroid theory. The workshop aims to foster collaboration and innovation at the intersection of combinatorics, geometry, and number theory.