## Introduction to Query-to-Communication Lifting

Mika Goos

Member, School of Mathematics

November 20, 2018

I will survey new lower-bound methods in communication complexity that "lift" lower bounds from decision tree complexity. These methods have recently enabled progress on core questions in communication complexity (log-rank conjecture, classical--quantum separations) and related areas (circuit complexity, proof complexity, LP/SDP formulations). I will prove one concrete lifting theorem for non-deterministic (NP) query/communication models.