Explore the fascinating intersection of Buchi automata and fractals on R in this 25-minute lecture by Alexi Block Gorman from The Fields Institute. Delve into the Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry as you learn about regular languages, model theory, and Buchi automata. Discover the connections between regular omega languages, first-order logic, and sparse sets, gaining valuable insights into this complex mathematical topic.