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Seminar

GFA Young Researchers Seminar: Generalizations of Grunbaum's inequality September 06, 2017 (11:00 AM PDT - 12:30 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Matthew Stephen (University of Alberta)
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Let K be a convex body in R^n with its centroid at the origin, let u be a unit vector, and let u^+ be the n-dimensional half-space which contains u and whose boundary is orthogonal to u. Grunbaum’s inequality bounds the volume of K \cap u^+ from below by 1/e times the volume of K. I will discuss several recent extensions of this inequality, including our joint work with Ning Zhang where we establish a "Grunbaum’s inequality for projections" and a "Grunbaum’s inequality for sections".

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