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Explore how innovation in science and technology truly unfolds through groundbreaking research conducted at the Royal Institution in this 59-minute lecture. Discover the mathematical signature of serendipity being decoded by the London Institute of Mathematical Sciences, challenging traditional narratives of innovation that typically portray creative individuals solving well-defined problems single-handedly. Learn how recent research reveals that the majority of scientific papers contain significant discoveries which were not foreseen in their original grant proposals, demonstrating a messier, more nuanced view of innovation involving multiple contributors, surprising unforeseen outcomes, and continuous social tinkering. Examine case studies including Humphry Davy's invention of the safety lamp at the Ri to prevent lethal methane explosions in mines, revealing the complex reality behind seemingly straightforward innovation stories. Understand the implications of this research for scientists, managers, and regulators as you delve into the continuous process of scientific discovery and the rise of social media technologies. Gain insights from Martin Reeves, founding chair of the BCG Henderson Institute and trustee of The London Institute of Mathematical Sciences, as he presents findings that reshape our understanding of how breakthrough innovations emerge through serendipitous processes rather than linear problem-solving approaches.