The 5-day festival organized by Seeger's grandson will pay tribute to the musician, who died in January.
Police said the burglary was foiled by the 75-year-old resident of the Charles Street house.
The tree fell Thursday afternoon without hitting anyone.
The victim fell into the hole at 150 Charles St. about 2 p.m., officials said.
The 16-story building will have a stone-lined lap pool and 40,000 square feet of private outdoor space.
A company that rents camera and lighting equipment says it lost $10 million in gear during the storm.
George Soros' daughter Andrea Soros Colombel's 243 W. Fourth St. building partially collapsed Friday.
Water was restored Wednesday afternoon, hours after a service line break on Charles Street left locals dry.
Some Greenwich Village residents spent seven hours on a bus after a gas pipe broke underneath Charles Street.
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