Winter School Lecture Notes

 Group Actions in Number Theory

Initial Winter School  "Wiki Proceedings" and Lecture Notes

For each of the courses of the Winter School, we (will) provide links either to lecture notes, or to other documents that can be used as references.

• La conjecture de Sato-Tate
  • J.-P. Serre
• Sieve methods
  • É. Fouvry
  • E. Kowalski:
    • Bourbaki report on sieve and expanders
    • Slides from New-Orleans lecture
• Point counting on algebraic varieties and analytic number theory
  • T. Browning
  • R. de la Bretèche
• Modular forms, automorphic forms and automorphic representation
  • E. Lapid: slides of the lectures
  • Ph. Michel: Lecture 1, Lecture 2, Lecture 3, Lecture 4

• Point counting on homogeneous varieties: spectral and ergodic methods
  • M. Einsiedler: link to Gamburd's paper on spectral gap
  • M. Einsiedler: The world's easiest proof of Selberg's bound
  • S. Mozes
• Sum-product phenomena, expansion in groups and applications
  • H. Helfgott
  • P. Varjú