Olivia Dumitrescu - Lagrangian Fibration of the de Rham Moduli Space and Gaiotto Correspondence

There have been new developments in understanding Lagrangian fibrations of the de Rham moduli space in connection to Lagrangian stratifications of the Dolbeault moduli space through biholomorphic isomorphisms of the Lagrangian fibers. I will report recent results by different groups of authors.