My master degree




I defended my master degree on 2001 at Université de Montpellier 2 which has been done under the supervision of P. Michel.

The title of my report is


Normes infinies des fonctions propres de surfaces arithmétiques.

(Infinite norms of eigenfunctions on arithmetic surfaces)


It consists in a detailed study of the following paper of P. Sarnak and H. Iwaniec:

Infinite norms of eigenfunctions of arithmetic surfaces, Annals Of Mathematics 141 (1995), no. 2, 301--320.


It gives me the opportunity to master the langage of automorphic forms on GL(2) in the compact and non-compact case and to get some feeling about arithmetic quantum chaos. On an algebraic point of view, I have to understand the theory of quaternion algebras. Last but not least, I get some knowledge about a wonderfull analytic technique: the amplification method!



My report is available here