Explore a 57-minute lecture from the Fields Institute's Workshop on Tame Geometry, focusing on generalised power series determined by linear recurrence relations. Delve into key concepts such as canonical lifting property, rational functions, linear recurrence sequences, and determined sets. Examine the Main Lemma and its implications for determined fields, including Hahn and Rayner fields. Investigate examples of non-determined Hahn fields and the relationship between F-sequences and the canonical lifting property. Gain insights into the intricate connections between o-minimal, complex analytic, and nonarchimedean methods in tame geometry.