Explore the fascinating world of complex rotation numbers in this 45-minute lecture by Nataliya Goncharuk from the University of Toronto. Delve into the Thematic Program on Tame Geometry, Transseries and Applications to Analysis and Geometry as you learn about rotation number theory, complex rotation numbers, bubbles, dynamics, self-similarity, and normalization. Gain valuable insights into this intricate mathematical concept and its applications in various fields of study.