The University of South Carolina has reported more than 1,000 students who have tested positive for the virus and are currently active cases. The figures, made available on the university’s Covid-19 dashboard, include a nearly 28 percent positive test rate for students between Aug. 28 and 31. The university, which has about 35,000 students, took action earlier this week against more than a dozen of them as well as several Greek life organizations that administrators said recently hosted parties or large gatherings.