Integral points of bounded height on compactifications of semi-simple groups

TL;DR

This paper investigates how integral points of bounded height are distributed on certain compactifications of semi-simple groups, providing insights into their asymptotic behavior.

Contribution

It introduces a new framework for analyzing the distribution of integral points on compactified semi-simple groups of adjoint type.

Findings

Established asymptotic formulas for integral points

Identified key geometric structures influencing distribution

Extended previous results to new classes of compactifications

Abstract

We study the asymptotic distribution of integral points of bounded height on partial bi-equivariant compactifications of semi-simple groups of adjoint type.