2006 – Differential geometry

 

General

   
organizer Nicolas Macris (lthc)
office IN.R 134
phone 38114
email nicolas.macris@epfl.ch
tentative schedule monday 12h15 – 13h15
location room IN.R 113

 

Topics

This semester will be devoted to learning some differential geometry. Aside from the intrinsic interest and beauty of the topic, it is becoming useful in an increasing number of areas of mathematics and applications. We will base ourselves on the book of William M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry.

We will meet on a weekly basis for presentations of 1h between 12h15 and 13h15, starting on Oct 23. As a reward to brave and active participants we will offer a free copy of the book !

Additional reading material

Evolving Schedule

 

speaker date topic
Nicolas Macris Oct 23 Introduction, Topological manifolds
Nicolas Macris Oct 30 Mappings, Tangent plane in Ecludian space
Satish Korada Nov 6 Differentiable manifolds and examples
Satish Korada Nov 13 Grassman manifolds and application
Satish Korada Nov 20 Grassman manifolds and application
Vishvambhar Rathi Nov 27 Tangent space and vector fields
Vishvambhar Rathi Dec 4 Vector fields
Dinkar Vasudevan Dec 11 Tensor fields on a manifold
Dinkar Vasudevan Dec 18 Tensor fields
Shrinivas Kudekar Jan 8 Tensors orientability
Shrinivas Kudekar Jan 15 Differentiation on manifolds
Shrinivas Kudekar Jan 22 Notion of connection
Olivier Leveque Jan 29 Curvature
Olivier Leveque Feb 5 Curvature, Riemann tensor
Emmanuel Abbe Feb 12 Information geometry