Already represented by the enormous Babbo Pizzeria in the Seaport District, Mario Batali continues the expansion of his culinary empire in Boston with the recent debut of Eataly Boston (Prudential Center, 800 Boylston St., 617-807-7300, eataly.com). This 45,000-square-foot, market-style emporium—already a fixture in such cosmopolitan locales as Rome, Dubai and New York City—features three stories of vendors offering everything from pasta and pizza to coffee and pastry. In a nod to New England’s seafaring tradition, there’s a particular emphasis on fresh, local seafood. Speaking of which, Eataly is also home to Hub celebrity chef Barbara Lynch’s latest restaurant, Il Pesce, a 78-seat eatery emphasizing whole-fish dinners that includes a raw bar. Cooking lessons, as well as produce, beverages and housewares, are also available so patrons can take the Eataly experience home.