Counting lattice points and the distribution of periods (Yiannis Petridis, University College London)

03.05.2018 16:15 – 17:15

Gauss initiated the counting integral points inside a disc in the early 19th century. Over a hundred years later Huber made fundamental contributions to the geometry and analysis of hyperbolic manifolds counting points of orbits of discrete groups in hyperbolic space. I will explain some recent developments on the counting problem in hyperbolic spaces and explain how the techniques of spectral theory of automorphic forms can also be used to study the distribution of modular symbols i.e. periods of holomorphic differentials, which are of importance in the statistical behaviour of ranks of elliptic curves.

PS. The Colloquium will be followed by an aperitif

Lieu

Acacias, Room 17, Colloque

entrée libre