Explore the intriguing world of mathematical controversy in this lecture on the ABC Mysteries. Delve into the complex saga surrounding Shinichi Mochizuki's claimed proof of the ABC conjecture, a deceptively simple mathematical statement about the equation A+B=C. Examine the ongoing debate over the correctness of Mochizuki's 500-page proof and its reliance on thousands of pages of prior work. Investigate the unique challenges this situation poses to the mathematical community, known for its clear criteria of correctness and consensus. Consider potential cultural factors influencing the discourse. Gain insights into the nature of mathematical truth, proof, and practice from speaker Minhyong Kim, Director and Sir Edmund Whittaker Professor of Mathematical Sciences at the International Centre for Mathematical Sciences in Edinburgh.