On one side is Harvard, the nation’s oldest and wealthiest university, with a brand so powerful that its name is synonymous with prestige. On the other side is the Trump administration, determined to go further than any other White House to reshape American higher education.Both sides are digging in for a clash that could test the limits of the government’s power and the independence that has made U.S. universities a destination for scholars around the world.On Monday, Harvard became the first university to openly defy the Trump administration as it demands sweeping changes to limit activism on campus. The university...