Explore a conference talk on equivalences in higher categories presented by Viktoriya Ozornova at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into advanced mathematical concepts including parallelmorphisms, homotopics, infinity categories, model categories, and quasicategories. Learn about key topics such as composition, mathematical axioms, vibrant objects, and the distinctions between strict one categories and infinity one categories. Gain insights into the theoretical foundations and applications of higher category theory through this in-depth, hour-long presentation recorded during the thematic meeting on Chromatic Homotopy, K-Theory and Functors.