Here "name" is a metonym that refers to the person of God. Alternate translation: "I taught them who you really are and what you are like" (See: [[rc://en/ta/man/translate/figs-metonymy]])
Here "world" is a metonym that refers to the people of the world that oppose God. This means that God has separated the believers spiritually from the people who do not believe in him. (See: [[rc://en/ta/man/translate/figs-metonymy]])