The Breuil-Mézard conjecture for non-scalar split residual representations

 Following the approach of Paskunas, we prove the Breuil-Mézard conjecture for split (non-scalar) residual representations of the absolute Galois group of $\mathbb{Q}_p$ (when $p>3$). 
Combined with the cases previously proved by Kisin and by Paskunas, this completes the proof of the conjecture (when $p>3$). This is a joint work with Fucheng Tan.