Question: what is tywin lannister burning?
Answer: Tywin Lannister has the ancestral Valyrian steel greatsword of House Stark, Ice (held by the Lannisters since Eddard Stark's execution) melted down and re-forged into two smaller swords. While he watches the process, he tosses the sword's wolf pelt scabbard on the smith's fire, smiling as he watches it burn.