A quick introduction to the Hodge theory of Riemann surfaces followed by a study of variations of Hodge structure, the period map, and the differential equations satisfied by the period map. Then we will examine the singularities of the period map and how they  relate to the limit mixed Hodge structure and the Hodge structure of a singular variety. 

A series of speeches are included.
Time: April 9, 14, 16, 21, 23, 28, 30, May 5,2015 (Every Tuesday & Thursday)