Geometric flows are burning topic now a days which involve the evolution of Riemannian metric along with some geometric concepts.
In this research school we shall discuss about evolution of Riemannian metric with respect to time. Ricci flow, mean curvature flow and some type of other Geometric flow will be studied thoroughly. The main objective of this course will be to study the singularity formation in the case of Mean Curvature Flow and Ricci Flow. The concept of Ricci soliton was introduced by R. Hamilton in mid 80’s and they are self-similar solutions to Hamilton’s Ricci flows. The Ricci solitons and gradient Ricci solitons will also be studied. The discussions about Ricci Solitons as Contact Riemannian Metrics also be done.
We want to motivate researcher of our country and our neighbouring countries in this field, so that they can apply it in the various field of Physics and Mathematics. The aim of the Research School is to provide students with the basic as well as more advanced notions of both theories and applications.