SMS-NATO ASI 2005 Summer School
Equidistribution in Number Theory

July 11 – 22, 2005
Pavillon Aisenstadt

Speakers


Yuri Bilu (Bordeaux I), Bill Duke (UCLA), John Friedlander (Toronto), Andrew Granville (Montréal), Roger Heath-Brown (Oxford), Elon Lindenstrauss (New-York ), Jens Marklof (Bristol), Zeev Rudnick (Tel Aviv), Wolfgang Schmidt (Colorado, Boulder & Vienna), K. Soundararajan (Michigan), Yuri Tschinkel (Göttingen), Emmanuel Ullmo (Paris-Sud 11) et Akshay Venkatesh (MIT).

Organizers: Zeev Rudnick (Tel Aviv) et Andrew Granville (Montréal)

This summer school is primarily targeted at senior grad students, postdocs and junior faculty.

Topics

  • Uniform Distribution and beyond: Applications to Cryptographic protocols, distribution of integers, and level statistics.
  • Integer and rational points on varieties: Geometry of numbers, the circle method, homogeneous varieties via spectral theory and ergodic theory
  • The Andre-Oort conjectures: equidistribution of CM-points and Hecke points, and points of small height.
  • Quantum ergodicity: Quantum maps and modular surfaces.