The library is a public place, everyone needs to read quietly in it, and their thoughts are not willing to be interrupted or destroyed by others! If someone is talking around, it will affect the mood of reading. In this case, we can tell the librarian that the librarian will stop their unqualified behavior! If they talk, they will be expelled from the library because they have seriously affected the learning environment of others. Some people need to be quiet when reading, and their behavior will be criticized by everyone!
You can also quietly remind them not to let them talk, explain that this is a public place and ask them to abide by the rules here. I think you reminded me that they are all scholars and should be aware of these requirements and will be restrained. I think as long as you remind them that their behavior has affected your study, they will not continue to talk. Don't be too angry, as long as everything is settled.
When we are in public places, we must obey the rules. When we are in the library, we can't talk and influence others' study. This is a sign of lack of quality. As a scholar, we should know that in this respect, we should regulate our own behavior, which is a respect for others and a requirement for ourselves! Be a civilized scholar!