Berkovich Spaces, Tropical Geometry and Number Theory - Lecture 1

This mini-course lecture by Farbod Shokrieh from Washington, USA explores Berkovich Spaces, Tropical Geometry and Number Theory as part of the "Combinatorial Synergies in Geometry and Number Theory" event at Instituto de Matemática Pura e Aplicada. Discover how combinatorial methods intersect with Algebraic Geometry and Number Theory through this 57-minute presentation, which is the first installment of a series designed to bring together early-career mathematicians and specialists. The event features additional mini-courses and presentations by renowned mathematicians covering topics such as Combinatorial Geometry, Hodge Theory, inequalities for trees and matroids, tropical semirings, and more. The workshop aims to enhance combinatorial approaches in studying geometric and arithmetic structures through theoretical and computational perspectives.