# Asymptotic Analysis Seminar: On a Loomis-Whitney Type Inequality for Permutationally Invariant Unconditional Convex Bodies

Tuesday, March 24, 2015 - 11:00am - 12:00pm

Lind 305

Piotr Nayar (University of Minnesota, Twin Cities)

For a permutationally invariant unconditional convex body K in R^n we define a finite sequence (K_j) of projections of the body K to the space spanned by first j vectors of the standard basis of R^n. We prove that the sequence of volumes (K_j) is log-concave, i.e., K_j^2 \geq K_{j-1}K_{j+1}. Joint work with Tomasz Tkocz.