PSR-7 and PSR-15 are PHP standards for representing HTTP messages and server request handling. PSR-7 defines interfaces for HTTP messages like requests and responses, while PSR-15 defines interfaces for request handlers and middleware. These standards provide a common way for PHP libraries to interact with HTTP messages and requests, improving interoperability. They also allow applications to be built in a way that is compatible with evolving PHP frameworks and tools. Adopting these PSRs helps create a solid foundation for building HTTP applications and middleware in PHP.