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Where's the latest research on Probabilistically Checkable Proofs & Hardness of Approximation Problems headed?

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I've been busy with other stuff and haven't had much time to keep up with the field since the 1991 breakthrough paper by Feige, Goldwasser, Lovasz, Safra, and Szegedy.

P.S. No need for a detailed technical expose; a descriptive/global sketch of the latest research/developments + references to a few key publications/papers/articles would suffice.

Thank you!

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I haven't the slightest idea what you are talking about, but I'm always up for an interesting challenge. I found an abstract online that seems to offer what you are looking for (stated in your P.S.).

Here's what seems like an important excerpt:

"Perhaps, however, the most dramatic development has been the connection which was found between probabilistically verifiable proofs and proving hardness of approximation for optimization problems. It has been shown that a large variety of optimization versions of NP-hard problems (e.g., the maximum size of a clique in a graph, the minimum number of colors necessary to color a graph, and the maximum number of clauses satisfiable in a CNF formula) are not only NP-hard to solve exactly but also NP-hard to approximate in a very strong sense. The tools to establish hardness of approximation came directly from results on MIPs and PCPs. Indeed, almost every improvement in the efficiency of these proof systems translates directly into showing larger factors within which these optimization problems are hard to approximate."

Then it listed some links to additional resources and terms.

Here's the website:

http://portal.acm.org/citation.cfm?id=285005

ADDED INFORMATION!

***RIVER EUPHRATES***...you copied the course description for the CS Dept of New York University -- word for word and in its entirety:
"Probabilistically Checkable Proofs and
Hardness of Approximation" by Subhash Khot
and posted it without any citation or acknowledgement of the author or website, which is as follows:

http://www.cs.nyu.edu/~khot/pcp-course.html

That's called plagiarism. Even in Yahoo!Answers, when a member asks a question, we have the obligation to respond with integrity.

I don't normally give thumbs down, but I have to call you out on this. You get a TD from me.

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