Explore the critical issue of rising sea levels in this comprehensive lecture from The Turing Lectures series. Delve into the anatomy of sea level predictions, examining the IPCC report and global trends. Investigate various sources contributing to sea level rise, including glaciers, with a focus on Iceland's changing landscape. Analyze the future of glacier systems through advanced modeling and simulations. Examine the roles of Greenland and Antarctica in global sea level changes, paying special attention to floating ice shelves and their vulnerability to collapse and melting. Learn about cutting-edge computer models and international comparisons in sea level research. Discover how machine learning is being applied to glacier studies and sea level predictions. Gain insights into future sea level rise scenarios and understand why it's never too late to take action in mitigating this global challenge.