Analysis and Probability Seminar: “Generalizations of Gruenbaum’s Inquality”

Tuesday March 6, 2018 3:00 p.m. Yost 306

Speaker: Ning Zhang, Kent State University

Abstract: Consider a convex body K with its centroid at the origin. Gruenbaum’s inequality bounds the volume of half-space section from below by 1/e times the volume of K. In this talk, we will discuss several recent extensions of this inequality, including our joint work with Matthew Stephen and Sergii Myroshnychenko where we establish a “Gruenbaum’s inequality for projections” and a “Gruenbaum’s inequality for sections”.


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