This is an announcement for the paper "A letter: The log-Brunn-Minkowski inequality for complex bodies" by Liran Rotem.

Abstract: In this short note we explain why the log-Brunn-Minkowski conjecture is correct for complex convex bodies. We do this by relating the conjecture to the notion of complex interpolation, and appealing to a general theorem by Cordero-Erausquin.

Archive classification: math.MG math.FA

Submitted from: liranro1@post.tau.ac.il

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1412.5321

or

http://arXiv.org/abs/1412.5321