Number Theory Seminar

Speaker: Robert Wilms (Basel)

Title: On equidistribution in Arakelov theory.

Abstract: In Arakelov theory one studies line bundles on varieties over
the integers equipped with hermitian metrics. I will show that if such a
line bundle is arithmetically ample, the divisors of the sections of its
tensor powers almost always tend to equidistribute with respect to the
first Chern class of the line bundle. The proof relies on an analogue
result in complex analysis and geometry of numbers. As an motivating
example, I will deduce an equidistribution result for the zero sets of
integer polynomials.