I have been in charge of ENS - CMI exchange programme from 2000 to 2004. Now, Sébastien Gouezel is in charge of it, and of the corresponding webpage. Therefore:

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Exchange Programme between ENS (Paris) and CMI (Madras)

Version Française

This Exchange Programme is between two research institutes in which undergraduate and graduate programmes take place : Ecole Normale Supérieure in Paris (France) and Chennai Mathematical Institute in Madras (= Chennai, India), usually called ENS and CMI. Up to now, the following students have travelled under this programme :

During summer 2000, three ENS students (Mladen Dimitrov, Alexandru Oancea and myself) have been to Madras.
During may-june 2001, two CMI students (N.V. Tejaswi and Debapriyo Majumdar) came to ENS.
During summer 2001, Catriona Maclean, Augustin Chaintreau, Thomas Doumenc and Dimitri Zvonkine have been to Madras.
From April to June 2002, Yashonidhi Pandey, Amit Deshpande and Debajyoti Nandi have visited ENS. Yashonidhi Pandey has stayed in Paris a little longer, because he applied to ENS International entrance exam. He passed it, and is a student at ENS from September 2002.
From the end of July to the middle of September 2002, Benoît Daniel et Sébastien Gouezel have visited CMI.
In January and February 2003, Anne Bouillard and Oliver Wittenberg have visited CMI.
In May and June 2003, Sourav Chakraborty, Snigdhayan Mahanta and T. Saravanan have visited ENS.
In August and September 2003, Nicolae Mihalache-Ciurdea and Xavier Rival have visited CMI.

Some new trips are planned : Guillaume Lafon and Matthieu Lafond will visit CMI in January and February 2004, and Alexis Saurin and Marc Wouts will do so in August and September 2004. This exchange programme is planned to continue in the same way. In general, ENS students go to Madras during the last year of their studies at ENS (i.e. at the beginning of their PhD). CMI students go to Paris during the third year of CMI Undergraduate Programme. Each trip is 7 or 8 week long ; up to now, the only exceptions are Augustin Chaintreau and Yashonidhi Pandey: 10 weeks.

The CMI students that come to Paris attend lectures (inside ENS and/or at universities), work under a professor and give a talk to explain their results. What is more, they follow french courses (at Alliance Française), in order to continue learning French (they begin in Madras, at least 6 months before they come to France). They also use the learning material (CD-ROM) provided by the Département de Mathématiques et Applications de l'ENS.

The ENS students that go to Madras give lectures there, inside CMI undergraduate programme. In general, they arrive at the beginning of a semester, and teach the beginning of a core course. This course is continued by a CMI teacher after the student comes back to France. It happens also that students give lectures outside this undergraduate programme, e.g. at a graduate level. Moreover, french students (that are usually preparing a PhD) give research lectures, and visit other indian institutes or universities (in Pondicherry, Bangalore, Bombay and sometimes Delhi). During these trips, they usually give talks, for researchers or students (many indian students seem to be interested in preparing a PhD abroad, and this is an opportunity to create contacts).

Financial Aspects

The general rule is that french institutes pay for the french students' airplane ticket, and for the living expanses of the indian guests in France. Reciprocally, indian institutions pay the Madras - Paris airplane tickets, and (in general) living expanses in India for french students.
I would like to thank the following institutions for their financial support:

La Direction des Relations Internationales de l'ENS.
Le Département de Mathématiques et Applications de l'ENS.
Le Magistère de Mathématiques Fondamentales et Appliquées et d'Informatique de l'ENS.
Le Centre National de la Recherche Scientifique (through Indo-French Cooperation Programme).

Reports

Each student that takes part to this exchange programme writes, when he's back, a report. Each of these reports is under the only responsability of its author. The following reports are available: Mladen Dimitrov (dvi, ps, pdf), Stéphane Fischler (dvi, ps, pdf), Alexandru Oancea (dvi, ps, pdf), Debapriyo Majumdar (dvi, ps, pdf), N.V. Tejaswi (dvi, ps, pdf), Augustin Chaintreau (dvi, ps, pdf), Thomas Doumenc (dvi, ps, pdf), Catriona Maclean (dvi, ps, pdf), Dimitri Zvonkine (dvi, ps, pdf), Maxime Hauray (dvi, ps, pdf), Julien Marché (dvi, ps, pdf), Amit Deshpande (dvi, ps, pdf), Debajyoti Nandi (dvi, ps, pdf), Yashonidhi Pandey (dvi, ps, pdf), Benoît Daniel (dvi, ps, pdf), Sébastien Gouëzel (dvi, ps, pdf), Anne Bouillard (dvi, ps, pdf). Olivier Wittenberg (dvi, ps, pdf), Sourav Chakraborty (dvi, ps, pdf), Snigdhayan Mahanta (dvi, ps, pdf), T. Saravanan (dvi, ps, pdf), Nicolae Mihalache-Ciurdea (dvi, ps, pdf), Xavier Rival (dvi, ps, pdf).

Lecture Notes

Each participant has given at least one lecture. For some of them, notes are available:

Mladen Dimitrov's talk at Pondicherry University: ``Some classical problems leading to modern number theory'' (dvi, ps, pdf).
Two lectures by Stéphane Fischler : one of them, at Pondicherry University: ``Algebraic and Transcendental Numbers'' (dvi, ps, pdf), the other one, at IMSc (Madras) and TIFR (Bombay and Bangalore): ``Infinitely many values of Riemann zeta function at odd integers are irrational (after Rivoal)'' (dvi, ps, pdf).
Debapriyo Majumdar's talk at ENS: ``Serre's Conjecture on Projective Modules'' (dvi, ps, pdf).
N.V. Tejaswi's talk at ENS: ``Non-Vanishing of Modular L-functions'' (dvi, ps, pdf).
Amit Deshpande's talk at ENS: `Quantum computation using group representations'' (dvi, ps, pdf).
Benoit Daniel's lecture at Pondicherry University: `Minimal surfaces in R^3'' (dvi, ps, pdf).
Sébastien Gouëzel's lecture at Pondicherry University: ``Statistical properties of deterministic maps'' (dvi, ps, pdf).
Sourav Chakraborty's talk at ENS: ``Editing distances in trees'' (dvi, ps, pdf).
Snigdhayan Mahanta's talk at ENS: ``Algebraic and rational points on cubic surfaces (after D.F. Coray)'' (dvi, ps, pdf).
T. Saravanan's talk at ENS: ``Derived categories of coherent sheaves on projective spaces'' (dvi, ps, pdf).

At last, Olivier Wittenberg's lectures on algebraic geometry (given at CMI) at available (dvi or compressed ps).

A few links

French embassy in India.
Edufrance, for people interested in studying in France.
Indo-french Cooperation programme.

If you have any question, please feel free to ask.

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