Explore local thermodynamic measurements of topological states in magic angle graphene in this 48-minute lecture by Andrew Pierce from PCS Institute for Basic Science. Delve into the complex many-body physics arising from flat bands coupled to dispersive bands in magic-angle twisted trilayer graphene. Examine local compressibility measurements that reveal various topological correlated insulating states and novel phase transitions. Understand the importance of dispersive bands in the system and learn how to disentangle their contribution. Investigate transport characteristics, B-dependent compressibility, Chern numbers, and incompressible states down to zero magnetic field. Gain insights into identifying true incompressible states and the nature of these states. Conclude with a discussion on a minimal model near the charge neutrality point and participate in a question-and-answer session.