Math Colloquium: Statistics of quadratic congruences and generalizations

  • Date: 01/13/2010
Nicolas Templier (Institute for Advanced Study)

University of British Columbia


We present the uniform distribution of roots of quadratic congruences on the unit circle. Several proofs have been rediscovered over the years. I will review some of the very different methods involved -- ergodic theory, exponential sums, automorphic forms. It constitutes an excellent introduction to the more delicate Linnik problems. I will then proceed to describe new generalizations. These have far reaching applications to arithmetic geometry and independence of Heegner points on rational elliptic curves.


3:00pm-4:00pm, WMAX 110