Fixed Price One for Higher Rank Groups - Measured Group Theory

Explore a 50-minute lecture on fixed price one for higher rank groups, presented by Sam Mellick as part of the Measured Group Theory program at the Centre de recherches mathématiques (CRM). Delve into the proof that certain groups, including higher rank semisimple Lie groups and Aut(T) x Aut(T), possess fixed price one. Discover the implications of this property for lattices within these groups and other related concepts. No prior knowledge of Lie theory or cost for actions of locally compact groups is required to follow the presentation. Gain insights into ongoing collaborative research with Mikołaj Frączyk and Amanda Wilkens in this accessible and informative talk.