The Tempest might be the danciest of Shakespeare’s plays—Ariel is even airier than Midsummer’s Puck—and Kidd Pivot might be the perfect company to stage a riff on it. Crystal Pite, captain of the Kidd Pivot company, is admired by Serious Dance People™ and casual audiences alike for her impressionistic storytelling, her combination of playfulness and pathos, and her bizarre kinetic intelligence that makes her dancers look like aliens. Don’t miss it. (On the Boards, 100 W Roy St,, 8 pm, $20, Oct 23–25)