Explore a 57-minute lecture by Constantin Teleman from the University of California, Berkeley, delivered at the University of Miami. Delve into the Curved Cartan Complex (CCC) and its role in computing B-model gauged algebras and categories in three dimensions. Gain insights into the relationship between the CCC and alternative computations from the Toda integrable system. Discover the construction of Coulomb branches of polarized representations using 2D mirror symmetry. Enhance your understanding of complex mathematical concepts and their applications in theoretical physics.