Talk page

Title:
The Unipotent Mixing Conjecture

Speaker:
Valentin Blomer

Abstract:
Abstract: Low-lying horocycles are known to equidistribute on the modular curve. Here we consider the joint distribution of two low-lying horocycles of different speeds in the product of two modular curves and show equidistribution under certain necessary diophantine conditions. The techniques involve a combination of multiplicative number theory and ergodic theory. This is joint work with Philippe Michel.

Link:
https://www.ias.edu/video/unipotent-mixing-conjecture