I love the language and phrasing that Kofi Annan uses in this statement.
"To the leaders gathered here today, I say this: The people need you, they want you to take charge of the situation and do whatever possible to halt the downward spiral into chaos that is threatening this beautiful and prosperous country. You have to act with urgency."
It appeals to the leaders sense of power with the words "need" and "take charge". The phrasing "beautiful and prosperous country" shows respect for the region and is a reminder that Kenya was a viable economic area. Ending with the call to "act with urgency" leaves no doubt about the purpose for the mediation talks.