Explore the intricacies of commuting diffeomorphisms in this 50-minute research seminar by Andrés Navas from Universidad de Santiago de Chile. Delve into the collaborative work with Hélène Eynard-Bontemps on the arc-connectedness of the space of 1-dimensional commuting diffeomorphisms. Gain insights into group actions, community spaces, and humanism as they relate to this mathematical concept. Examine naive approaches, geomorphism, integral and irrational rotations, and rational rotations. Understand the role of distractions in this complex mathematical landscape. This seminar, part of the IMSAC Consortium Distinguished Lecture Series at the University of Miami, offers a deep dive into advanced mathematical concepts for researchers and enthusiasts in the field.