Quadratic Equations in Groups from the Global Geometry Viewpoint

TL;DR

This paper explores quadratic equations in groups using geometric methods like harmonic maps and minimal surfaces, providing a novel perspective on algebraic problems through global geometric analysis.

Contribution

Introduces a geometric approach to quadratic equations in groups by applying harmonic maps and minimal surfaces, offering new insights into their structure and solutions.

Findings

New geometric framework for quadratic equations in groups

Connections between harmonic maps and algebraic solutions

Potential for broader applications in geometric group theory

Abstract

I use harmonic maps and minimal surfaces to study quadratic equations in groups.