I know how to grow grass. I'm a Certified Turfcare Professional, and I don't even manage turf professionally. Horticulture is a hobby of mine and I ran a site called Lawn-Tips.com through much of the 1990's.
I've also been a construction project manager for much of my adult life, and I have several showcase stands of sports and high-traffic fields in my portfolio, ranging from sports stadiums to parade grounds.
The problem is related to a deficiency in one of five key factors in maintaining healthy turf: Drainage, irrigation, mowing, pest/disease control and fertilization. Looking down at the north end zone yesterday, and at several locations on the east sideline, it looks like the soil is badly compacted and not draining properly.
I believe the turf we have is a hybrid Bermuda sports turf, like TifDwarf or a cultivar from it. Depending on the substrate and topsoil that was placed when the turf was first thrown, a single spring season's worth of aggressive aeration and topdressing may solve the problem.
If the wrong substrate was placed, or if it was placed incorrectly or compacted during construction, the only suitable course of action is to rip it up and replace it. Whoever is managing the turf is probably doing the best he can with what he's got to work with. That is, he's probably following a good strategy to address the issues not-related to the soil. But without conducting my own analysis of soil content and chemical analysis, it's hard to tell if a change in management strategy will solve the problem, or if the turf needs to be renovated.
Renovation would probably cost on the order of $1 million, depending on the amount of material that has to be removed and the amount of new material that has to be brought in and placed. I have several good contacts in the turf and sod industry. These are professionals I've worked with before, and at least one of them would do the work cheap as a demonstration project.