On the geometry of twisted prolongations, and dynamical systems

TL;DR

This paper reviews the geometric theory of twisted symmetries in differential equations, highlighting their mathematical structure and discussing unresolved questions in the field.

Contribution

It provides a concise overview of twisted symmetries' geometric aspects and identifies open problems for future research.

Findings

Highlights the geometric nature of twisted symmetries

Identifies key open problems in the theory

Provides a clear overview of the current state of the field

Abstract

I give a short review of the theory of twisted symmetries of differential equations, emphasizing geometrical aspects. Some open problems are also mentioned.