Complex sentence: It leads to a powerful set of mathematical tools that have applications to differential and integral geometry, nonlinear differential equations and representation theory and in physics to relativity and quantum field theory, in particular to scattering amplitudes.
Split into simpler sentences: It leads to a powerful set of mathematical tools that have applications across maths and physics. There are important applications to differential and integral geometry, nonlinear differential equations and representation theory and in physics to relativity and quantum field theory, in particular to scattering amplitudes.