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This lecture by Federico Ardila from San Francisco, USA, explores "Inequalities For Trees and Matroids" as part of the "Combinatorial Synergies in Geometry and Number Theory" workshop organized by the Instituto de Matemática Pura e Aplicada. Discover how combinatorial methods intersect with algebraic geometry and number theory in this 56-minute presentation that examines theoretical and computational aspects of geometric and arithmetic structures. The workshop features mini-courses by Kris Shaw on Combinatorial Geometry and Hodge Theory and Farbod Shokrieh on Berkovich Spaces, Tropical Geometry and Number Theory, alongside presentations from international mathematicians exploring topics ranging from permutahedron subdivisions to tropical polynomials and matroid theory. This event aims to connect early-career mathematicians with specialists to enhance combinatorial approaches in mathematical research.
