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This lecture by Ethan Cotterill from UNICAMP, Brazil explores tropical semirings and curve singularities as part of the "Combinatorial Synergies in Geometry and Number Theory" workshop organized by the Instituto de Matemática Pura e Aplicada. Delve into the fascinating intersection of combinatorial methods with algebraic geometry and number theory in this 54-minute presentation. The workshop features mini-courses and talks by international mathematicians focusing on enhancing combinatorial approaches to geometric and arithmetic structures, bringing together both early-career mathematicians and specialists in the field. The event includes presentations on topics ranging from Hodge Theory and Berkovich Spaces to matroids, polynomial equations, and compactified Jacobians, showcasing the rich synergy between combinatorics and other mathematical disciplines.
