#### 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”.