====== Differential Geometry ======

==== General ====

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|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|\\
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=== Topics ===
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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.\\
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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 !\\
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=== Additional reading material ===
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=== Evolving Schedule ===
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^  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 |

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