There is a discussion about a proposed polymath devoted to the Hirsch conjecture. Here is the url:
http://gilkalai.wordpress.com/2009/07/17/the-polynomial-hirsch-conjecture-a-proposal-for-polymath3/
Let me update this: Here is a new discussion thread on this topic:
http://gilkalai.wordpress.com/2009/08/09/the-polynomial-hirsch-conjecture-discussion-thread/