In 2018, Krishnan and Quastel showed that the fluctuations of Seppäläinen's log-gamma polymer converge in law to the Tracy-Widom GUE distribution in the intermediate disorder regime. This regime corresponds to taking the inverse temperature $\beta$ to depend on the length of the polymer $2n$, with $\beta=n^{-\alpha}$ for some exponent $\alpha<1/4$. They also conjectured that this

should hold for directed polymers with general i.i.d weights. In this talk, I will sketch a proof of their conjecture for $1/5<\alpha<1/4$, using a kind of “local chaos expansion”.