Explore the intricacies of b-adic representation of irrational numbers in this 37-minute lecture delivered by Lars Kristiansen as part of the Hausdorff Trimester Program: Types, Sets and Constructions. Delve into the mathematical concepts surrounding the representation of irrational numbers in different bases, gaining insights into number theory and its applications. Examine the properties and characteristics of b-adic expansions, and understand their significance in the broader context of mathematical analysis and computation.