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Explore tropical geometry and its applications to algebraic curves in this 29-minute lecture from the Trieste Algebraic Geometry Summer School 2021. Delve into topics such as divisors, chip firing, tropical Jacobians, and double covers. Learn about induced maps, generic curves, and prime varieties as speaker Yoav LEN from the University of St Andrews, UK, guides you through the theory and strategy behind tropical Prym varieties. Gain insights into this fascinating area of mathematics, from the introduction to the conclusion, in this comprehensive talk on hyperkähler and Prym varieties.