I will introduce our recent work on enhanced reductive groups and the geometry of enhanced nilpotent orbits. Associated with $G:=GL_n$ and its rational representation $\rho$ on $M$ over an algebraically closed field $k$, we define an enhanced algebraic group $\underline{G}:=G\ltimes_\rho M$ which is a product variety $GL_n\times M$, endowed with an enhanced cross product. Yunpeng Xue and Yufeng Yao made contribution to the work.