We present a summary of our recent rigorous derivation of the celebrated
Ginzburg-Landau (GL) theory, starting from the microscopic
Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL
arises as an effective theory on the macroscopic scale. The relevant scaling
limit is semiclassical in nature, and semiclassical analysis, with minimal
regularity assumptions, plays an important part in our proof.Comment: Typo in Eq. (14) corrected, references update
