Abstract: The concept of correlations permeates our world in a profound and ubiquitous way. The gist of science is to classify and quantify correlations, and to reveal relations between different correlations. Correlations are many faceted and constitute basic resources that can be measured, manipulated, and utilized. With the advent of quantum information theory, which concerns the general study of information processing capability of quantum systems and ushers a new vista full of challenging mathematical problems and marvelous physical potentialities, quantum correlations are playing an increasingly instrumental and significant role in the description and exploitation of nature. In this talk, we present an overview of some quantitative and informational aspects of quantum correlations, with focus on the interplay between classical and quantum, and their implications for quantum foundations and applications.
