The "statuses/update" API linked to (http://dev.twitter.com/doc/post/ statuses/update or http://apiwiki.twitter.com/Twitter-REST-API-Method%3A-statuses%C2%A0update) is the method that is used for an authenticated Twitter user to add his/her own new Tweet. (It's not a method of returning Tweets already created by other users.)
We don't want to create Tweets from a given place - instead we want to use the Twitter API to publish Tweets from a given place. So, here is our page about the Staples Center in Los Angeles. http://sency.com/los-angeles/STAPLES-Center-4165 our goal is to publish the most recent Tweets, made from the Staples Center - on this page... would this be possible based on the current Twitter API?