I am applying to a PhD program in a few weeks, and I am also going to give a presentation at an upcoming international academic conference. I heard that a group of researchers from my dream school is also going to present their work at the conference, and at least one of the researchers might be a member of the admissions panel. I would like to introduce myself to them, but I don't want them to think that I am trying to win their favor just to increase my chances of getting accepted.
I recently had an informal Skype meeting with a potential PhD advisor, and she agreed to supervise my research if I get officially accepted. She does not belong to the research group and she is probably not attending the conference.
Could you give me some advice on how to talk to them in an ethical and appropriate way? Would it be fine to let them know that one professor is already willing to accept me to their program? (The conference will take place before the deadline of the application.)
[EDIT] Thank you @ReinstateMonica for your answer. As (s)he pointed out, there was inconsistency in what I wrote. My potential advisor is willing to take me in, but she is not the one who will make the final admission decision. (My understanding is that my application will be assessed by her and one or more other professors.)