AIMS Conference on Quadratic Differentials

Holomorphic differentials on Riemann surfaces have long held a distinguished place in several areas of low dimensional geometry, dynamics and representation theory.  More recently they have emerged in intriguing ways in the study of billiards in polygons, special (so-called Hitchin) components of representation varieties, stability conditions on Fukaya-type categories, spectral networks, and asymptotic properties of Higgs bundle moduli spaces.  This workshop will bring together a small number of experts at the forefront of these diverse areas to explore common themes and in particular to investigate the use of techniques that could potentially cross disciplinary boundaries.