This is polenta, a traditional, Italian peasant dish. It can be served creamy or sliced in this fancy fashion pictured above, possibly even rewarmed on an oiled skillet producing a great brown crust. In America, we'd just call this grits. Or cornmeal. The polenta in Italy generally is very similar to yellow grits. I make it at home with cornmeal for two reasons. For one, cornmeal is reasonably cheap. For two, if I just change the recipes to cornmeal, that's one less item that gets lost in my pantry.
Based on Soft Polenta from Moosewood Restaurant New Classics
3 cups water or vegetarian chicken-flavored broth
1 cup cornmeal
1/2 teaspoon salt if not using broth
1/4-1/2 teaspoon celery seed (original recipe calls for fennel seeds)
1/2 cup grated Parmesan cheese, topping
Black pepper to taste
Bring water or broth to boil in a large pot. Slowly pour in cornmeal, stirring constantly to prevent lumps. A whisk works best for me. Turn heat to low and simmer, stirring frequently, until polenta is thick. Season. Serve topped with cheese.
Moosewood adds a note that the grind and variety of cornmeal influence the cook times. Be prepared to add hot water to cooking if necessary. However, I don't recall ever needing to.