Explore a detailed mathematical seminar talk examining the behavior of BunG at infinity, focusing on how it is controlled by deeper strata of the Harder-Narasimhan stratification. Delve into the geometric contractiveness property of this stratification and understand how the category of D-modules on BunG behaves as if BunG were quasi-compact, despite not being so. Learn from the research based on Drinfeld and Gaitsgory's work on compact generation of the category of D-modules on the stack of G-bundles on a curve.