Approximation of Mixed Volumes of Convex Bodies

Speaker:
Organiser:
Varun Ramanathan
Date:
Friday, 8 Aug 2025, 16:00 to 17:00
Venue:
A-201 (STCS Seminar Room)
Abstract

In the area of convex geometry, the approximation of volumes of convex bodies is an active area of research. Let us recall that the Steiner formula for a compact convex body K and the Euclidean unit ball B in n-dimensional Euclidean space along with a non-negative scalar ``c" , is a polynomial in ``c" of degree n, and the  i-th coefficient of $c^{n-i}$ are known as the i-th mixed volume of K+cB. In this talk, I will present a method to approximate the n-dimensional measure of mixed volumes of the convex body K+cB, where K is a convex polytope.