Simons Lecture Series

Akshay Venkatesh Clay Mathematics Institute Courant Institute of Mathematical Sciences, NYU Institute for Advanced Study, Princeton

• Lecture 1:

  A quick history of the arithmetics of quadratic forms, from Gauss to Siegel.

• Lecture 2:

  Quadratic forms via harmonic analysis.

• Lecture 3:

  Quadratic forms via p-adic dynamics.

Yves Couder Ecole Normale Supérieure, Paris Université Paris 6 & 7

• Lecture 1:

  The geometry and dynamics of plant growth: phyllotaxis as seen by physicists.

• Lecture 2:

  On hierarchical 2D space dividing patterns; leaf venation, cracks, town planning.

• Lecture 3:

  On the dynamics and self organization of wave-particle association at a macroscopic scale.