Speaker
Ruadhaí Dervan, University of Warwick
Abstract
The metric geometry of moduli spaces is modelled on the classical theory of symplectic reduction of Kähler manifolds. Symplectic reduction is the quotient theory of symplectic geometry, and relies on a choice of Kähler metric and moment map. I will give a more-or-less complete description of how the symplectic quotient varies as one varies the metric and moment map, which will motivate some new conjectures around the metric geometry of moduli spaces under analogous “wall-crossing” problems.