Explore the intricate relationship between resolution of singularities and the McKay correspondence in this 32-minute conference talk by Yukari Ito. Delivered as part of the Inaugural Meeting of Asian-Oceanian Women in Mathematics, hosted by the International Centre for Theoretical Sciences, delve into advanced mathematical concepts that bridge algebraic geometry and representation theory. Gain insights into how these two fundamental ideas intersect and contribute to our understanding of complex geometric structures. Suitable for mathematicians and advanced students interested in algebraic geometry, representation theory, and their applications.