Umm....
My sister is an exploration geologist for one of the major oil companies. Within the industry, peak oil is very widely recognized, and the general consensus is that it will happen within the next 10 years, and probably already happened a few years ago.
The myth is that we're all going to be doomed because of peak oil, they'll be widespread societal chaos, and it'll lead to the death of Big Oil. At least over the near term (~next 40 years or so), peak oil generally means more profits for the oil companies, as they control an increasingly scarce resource. Over the long term, they are potentially screwed, but good luck finding a CEO who cares what will happen in 50 years, so their efforts to finding a solution have been rather halfhearted...