Three Proofs of the Reverse Khovanskii-Teissier Inequality

Explore a one-hour lecture from the Connections to Schubert Calculus Learning Seminar where Princeton University's Sergio Cristancho presents three distinct proofs of the reverse Khovanskii-Teissier inequality. Delve into this mathematical concept that originated in Kähler geometry and provides an upper bound on divisor products. Examine the historical development of this inequality, from its initial observations by Xiao and Popovici in the context of Morse type inequalities, through Lehman and Xiao's work on mixed volumes of convex bodies, to Jiang and Li's application to projective varieties using Okounkov bodies. Learn about the three fundamental approaches to proving this inequality - analytic, algebraic, and convex geometric - each offering unique insights into this important mathematical relationship between nef divisors.