Krishnendu Gongopadhyay

Research Summary:

I studied the dynamics of the group of orientation-preserving isometries of the hyperbolic space, mainly of dimension 4 and 5. Our aim is to find an algebraic characterization of the dynamical types of these isometries and further generalization of the theory.

Preprints:

1. (with Ravi Kulkarni) The spaces of $n$ -planes and $n$ -spheres.

Conference/Workshops Attended:

1. I attended the Advanced Foundational School (AFS)-I, 10th May-5th June, 2004.

Invited Lectures/Seminars:

1. I gave two project seminars at the HRI on Basic Geometry of Hyperbolic Plane and Eilenberg-Maclane Spaces.

Other Activities:

1. I assisted Prof Ravi Kulkarni in preparing course materials for his course in the AFS-II at the HRI. I am also assisting him in maintaining the website of the Year on Teichmuller Theory and Moduli Problems.
2. I attended the courses given by Prof Fred Gardiner (CUNY),Prof Cliff Earle (Cornell University) and Prof Bill Harvey(King's College, London), in the Year on Teichmuller Theory and Moduli Problems. I also attended the expository lectures by Prof M. S. Narasimhan in the above program.
3. I attended Prof Kulkarni's courses to the second year students.
4. I attended the lecture series by $Prof$ $Joseph$ $Oesterl\acute{e}$ (Paris) at the HRI.