Archive

Any contents that is old and is to be put under the catagoery of archives

Schools 2001 and earlier

  • Winter School in Mathematics for college teachers and M.Sc. students from 16-26th November 1988.
  • All India Summer School in Number Theory, 10th-29th June, 1991. Was organised jointly with University of Pune. Co-ordinators : S. G. Udpikar, S. A. Katre, D. V. Kulkarni.
  • Summer School in Analysis, 8th- 18th June 1992. (Coordinators : S. Kumaresan, Nitin Nitsure, S. A. Katre)

Workshop on the Geometry and Topology Of Low - Dimensional Maniolds

In the past twenty/thirty years, the geometry and topology of low dimensional manifolds have seen major developments. These developments also have direct inputs from theoretical physics, for example from quantum field theories and string theory. The Ricci flow, introduced by Hamilton, and its use by Perelman for the proof of the Poincare Conjecture has been one of the major advances in this area in recent times. A generalization of the Poincare Conjecture is the Geometrization Conjecture of Thurston, which proposed special Riemannian geometries for all compact 3-manifolds. It is also claimed to be proved by the Ricci Flow Techniques. A special case of Haken manifolds was already proved independently by very different techniques coming from Teichmuller Theory. There will be special lectures on topics in Riemann surfaces, quasiconformal mappings, Kleinian groups and Teichmullar theory.