What do you mean, meet you at the next intersection?
At some point in the future, I will meet you in a corner. The sentence "I will meet you at the next intersection" means that at some point in the future, I will meet you at the corner of a certain place (such as a street, a park, etc.). ) This is used to describe an emotion and scene that people expect to meet again because they want to meet again or start a new relationship.