What is the main conflict in The Laramie Project by Moises Kaufman?

In 1998, Matthew Shepard, a twenty-one-year-old gay student registered at the University of Wyoming, was tied to a cattle fence, beaten about the head, robbed, and left to die on a bitterly cold night in October. Eighteen hours later, he was accidentally discovered by a biker, who had trouble believing that the figure he saw attached to the fence was human. Police and ambulances were dispatched, and Shepard was taken to a local hospital; all to no avail. Shepard was beyond recovery. He never regained consciousness and died several days later due to his head injuries. Two local young men were charged with the crime.