Groups and Smooth Geometry Using LieGroups.jl

Explore the mathematical foundations of Lie groups and their implementation in Julia through this 26-minute conference talk from JuliaCon Global 2025. Learn how to work with groups and smooth geometry using the LieGroups.jl package, discovering practical applications and computational techniques for handling continuous symmetry groups in mathematical and scientific computing. Gain insights into the package's design philosophy, core functionality, and real-world use cases that demonstrate how Julia's ecosystem enables elegant solutions for advanced geometric and algebraic computations.