Explore a comprehensive lecture on decidability through the lens of the tilting correspondence, presented by Konstantinos Kartas from the University of Oxford. Delve into the intricate relationship between decidability and tilting theory, gaining insights into this fundamental concept in theoretical computer science and mathematics. Examine the theoretical foundations and practical applications of the tilting correspondence in determining the decidability of various problems. Enhance your understanding of computational complexity and formal languages through this in-depth exploration of a powerful mathematical tool.