I am a faculty member at a university in a developing country. I love my field of research very much and want to improve my knowledge and level of expertise. I did worked always by myself and without being in touch with any other researcher in my field. Nearly a week ago, I sent a letter to one of the leading researchers (top 10) in my field to accept me for a sabbatical program and attached to the email one of my papers which is 15 months under review in a prestigious journal. The main reason for asking for sabbatical is that I really don't know what direction to go from here, in my journey in research.
Fortunately, their secretary answered me that we are full and don't have the space to host you, but we will look if we can find a solution and meanwhile send a cv. A day after I sent my cv, she mailed me to make a proposal for the project you want to do here, with whom you want to collaborate and what you will bring to the team here, and why you need to come in order to do the project.
These are perfect questions for a researcher to answer, but given that I don't have a sense of research direction, the importance of problems, and don't know what are important problems right now. I really want them to help me with the project. Even I prefer them to set a direction of research for me.
Given that I want to escape out of my bubble I'm in and connect with leading researchers, what they want me to tell for the question of what you could bring to here?