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President Trump will participate in a Fox News virtual town hall Sunday evening shot live from the Lincoln Memorial. The president also suggested Wednesday that he does not plan to extend federal social-distancing guidelines, leaving it to the governors to make decisions for their states.

An NIH trial of remdisivir showed modest improvement in recovery time in covid-19 patients, which encouraged stock market investors. But the economic downturn is about to get worse, many analysts said. The second quarter is likely to show a decline of 30 percent or more.

Here are some significant developments:

  • Anthony S. Fauci, director of the National Institute of Allergy and Infectious Diseases, said a second wave of infections is “inevitable” in the United States, which has recorded more than 1 million confirmed cases — nearly one-third of the global total.
  • As antsy Americans show growing signs of “quarantine fatigue” and officials face pressure to ease restrictions, factories, malls and state governments in many parts of the country are taking steps toward reopening.
  • ‘Frostbite’ toes and ‘second-week crashes’ are among the curious and sometimes dangerous phenomena among some covid-19 patients that have caught the interest of medical experts in recent weeks.
  • The U.S. economy shrank by 4.8 percent from January through March as it saw the worst slowdown in growth since the Great Recession.
  • Studies out of China show that traces of the virus can be detected in air, but its unclear whether the aerosols are actually infectious or a significant part of the pandemic.
  • Signaling confidence that it has contained the virus, China scheduled its big legislative meetings for late May. The “Two Sessions” meetings had been postponed at the height of the outbreak.