Questions & Answers about Мы обсуждаем роман известного писателя в чате.
Because обсуждать takes a direct object, and direct objects are usually in the accusative case.
Here, роман is a masculine inanimate noun. For masculine inanimate nouns, the accusative singular is the same as the nominative singular, so:
- nominative: роман
- accusative: роман
So the form does change grammatically, but it just happens to look identical.
Because it means something like the novel of a famous writer or a novel by a famous writer.
The noun писатель depends on роман and shows relationship/possession, so Russian uses the genitive case:
- писатель → писателя
The adjective must agree with the noun it describes, so:
- известный писатель
- известного писателя