Explore a 42-minute lecture by Taichi Yasuda on Martin's Maximum c*,++ in Pmax extensions of strong models of determinacy. Delivered as part of the Workshop on "Determinacy, Inner Models and Forcing Axioms" at the Erwin Schrödinger International Institute for Mathematics and Physics (ESI), this talk delves into advanced topics in set theory and mathematical logic. Gain insights into the intricate relationships between determinacy, inner models, and forcing axioms. Examine the concept of Martin's Maximum and its applications in Pmax extensions of strong models. Enhance your understanding of cutting-edge research in mathematical foundations and set-theoretic methods. For a detailed abstract and additional information, visit the ESI event page at https://www.esi.ac.at/events/t2008/.