11 september 2008, kl 13.15-15.15, DUBBELSEMINARIUM, KTH, sal 3721.

kl 14.15-15.15, Oscar Marmon (Chalmers/GU): On the density of solutions to Diophantine equations

Abstract. For Diophantine equations having infinitely many solutions, one can try to bound the number of solutions in large boxes. I will briefly discuss heuristics and survey some different results. Specifically, I will outline Heath-Brown's 'q-analogue' of van der Corput's method for exponential sums, and show some bounds that can be obtained.