Shrinking-Target Problems and the Injectivity Radius Function

by Dr Reynold Fregoli (UZH)

Wednesday 19 Apr 2023, 16:00 → 17:00 Europe/Rome

CRM - SNS

In this talk, I will discuss a shrinking target problem in the space of uni-modular lattices, with target located at infinity and shrinking neighbourhoods determined by the injectivity radius function. This problem is connected to a large body of work on the metric theory of shrinking targets in homogeneous spaces, with numerous applications to number theory.