**R. Parimala**

Emory University, USA

August 8, 2014

**Period-index bounds for the Brauer group**:
Over number fields, period and index of elements in the Brauer group coincide. Bounds for the index in terms of the period has consequences for quadratic forms. We shall explain how period index bounds lead to bounding the anisotropic dimension of quadratic forms over certain classes of function fields.