African Institute for Mathematical Sciences, Cape Town, South Africa
Organizers: Jayadev Athreya (Illinois), Steve Bradlow (Illinois), Barry Green (AIMS)
CMI Enhancement and Partnership Program
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.