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Explore a 50-minute lecture on enumerative algebra and its applications to physics, focusing on the study of stationary states in Newtonian differential equations with nonlinear potential. Delve into the relationship between stationary states and specialized polynomial equation systems, examining why solution counts differ from traditional Bezout and Bernstein-Kushnirenko bounds. Learn about the theory of Khovanskii bases and its role in providing more accurate predictions for these polynomial systems, presented by Mateusz Michalek from the Institute for Advanced Study as part of the Special Year Seminar series.
