Valentin Blomer: Eigenvalue statistics of tori

Tid: On 2019-04-03 kl 11.00

Föreläsare: Valentin Blomer (Universität Göttingen)

Plats: SU, 306

We study the fine scale statistics of eigenvalues of
two-dimensional flat tori, in particular large gaps, small gaps and
correlations, and compare it to the Poisson model. From a number
theoretic point of view, this concerns the value distribution of
binary quadratic forms, and the proofs use various tools from
diophantine analysis and analytic number theory, including zero-free
regions of the Riemann zeta function, bounds for Kloosterman sums, and
properties of Fibonacci numbers. This is joint work with Radziwill and
also with Bourgain and Rudnick.

Tillhör: Institutionen för matematik
Senast ändrad: 2019-03-31