Explore a comprehensive lecture on the Unique Games Hardness of Quantum Max-Cut and a conjectured vector-valued Borell's inequality presented by John Wright from the University of California, Berkeley. Delve into advanced concepts in quantum computing, optimization problems, and mathematical inequalities as part of IPAM's Topology, Quantum Error Correction and Quantum Gravity Workshop. Gain insights into the intersection of quantum mechanics, computational complexity theory, and mathematical analysis in this hour-long presentation recorded on November 28, 2023.