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Explore a comprehensive lecture on "On the Extremals of the Khovanskii-Teissier Inequality" delivered by Ramon Van Handel from the Institute for Advanced Study as part of the Special Year Seminar II series. Delve into the fundamental log-concavity property of intersection numbers of divisors of algebraic varieties through the Khovanskii-Teissier inequality, which extends the Alexandrov-Fenchel inequality from convex geometry. Learn about the equality cases of this inequality in the context of big nef classes on smooth projective varieties, including the work done by Shenfeld and Van Handel in the convex (toric) setting and its extension by Hu and Xiao to the algebraic setting. Understand the challenges in characterizing equality cases in more general situations beyond the convex setting. This largely self-contained proof presentation is scheduled for May 15, 2025, at 10:00am in Simonyi 101.
