Given a smooth projective curve $C$, nonabelian Hodge theory gives a diffeomorphism between two different moduli spaces associated to $C$. The first is the moduli space of Higgs bundles on $C$ of rank $n$, which is equipped ...

The workshop "K-stability, Birational Geometry and Mirror Symmetry" presented recent advances in all three topics, in the form of research level mini-courses, research talks and lightning talk sessions. Deep interactions ...