►CRUST: Preheat oven to 325°. Lightly spray a 9” springform pan with non-stick cooking spray and line bottom with parchment paper. Combine flour, powdered sugar, salt, and lemon zest in a mixing bowl. Drizzle in olive oil and mix with a spatula until mixture is combined but crumbly. Gently press into prepared pan in an even layer, allowing it to come up the sides about one inch. Chill for 20 minutes. Bake for 30 minutes. (It will be a little golden brown in spots, but it won’t take on too much color.) Cool completely at room temperature.
►RICOTTA FILLING: Reduce oven to 300°. Combine ricotta, sugar, vanilla bean seeds, and salt in a food processor and pulse a few times to combine. Scrape down bowl of processor with a spatula. Crack eggs into a small bowl and add one at a time through feed tube, pulsing until mixture is just combined, scraping down sides of bowl as needed. The mixture should be smooth and fairly loose. Wrap bottom of the pan in foil and set it on a sheet pan with a rim. Pour filling evenly into crust, and place pan in oven. Pour about an inch of hot water into pan. Bake 1 hour and 40 minutes; cake should be set, yet slightly wobbly and a little brown on top. Cool at room temperature in pan before transferring to the refrigerator to chill for at least four hours or overnight.
►RED WINE FIGS: Combine red wine and sugar in a saucepan and bring to a boil, stirring occasionally to help sugar dissolve. Reduce heat and simmer until reduced by about one-third. Add figs to a heat-proof bowl and pour reduced syrup over them. Allow to sit at room temperature for at least an hour. Figs can be made up to a day ahead and refrigerated overnight.
►TO SERVE: Release latch on springform pan and remove ring. Transfer cake to a serving platter, top with figs, hazelnuts and a drizzle of red wine syrup. Finish with a drizzle of olive oil and a sprinkle of sea salt.