Explore a comprehensive conference talk delving into the intersection of geometry, topology, group actions, and singularity theory across the Americas. Discover how the study of group actions in geometry and topology, along with its connections to singularity theory, has become a vibrant area of research in the 21st century. Learn about the rich interactions between North American mathematicians studying orbifolds and the South American school of singularity theory. Gain insights into the fertile ground for collaboration between algebraic topology, algebraic geometry, and mathematical physics. Understand the conference's goal of bringing together experts from across the continent and beyond to foster cross-disciplinary and geographical interactions in this dynamic field of mathematics.