Period map: past, present and the future

Gao Chen
Member, School of Mathematics
September 26, 2017
I will start from a simple statement: the radius of a sphere determines the shape of it. This simple statement has been generalized to the study of Riemann surfaces, K3 surfaces, Hyperkähler manifolds and other important objects. Recently, the conjecture about the generalization to the subject of special holonomy has drawn many attentions.