First, roast the mushrooms. Heat your oven to 350ºF and prepare two baking sheets or hotel pans with silicone baking mats or parchment paper. Tear the mushrooms into big pieces, toss them with a couple of tablespoons of olive oil and the vinegar, and place the pieces on the baking sheets—they will come out best if you can leave a bit of space around each bit of mushroom. Scatter the minced garlic and herbs around everything, then slide both sheets into the oven.
After 10 minutes, take them out of the oven, stir everything, and put back in the oven for 10 or 15 more minutes, until the mushrooms are starting to turn golden. Take them out of the oven, scrape into a bowl, and set aside. Don’t turn off the oven!
While the mushrooms are roasting, start the polenta. Put the water in a large, heavy-bottomed, oven-proof skillet and turn on the heat. When the water starts to simmer, gradually pour in the cornmeal, whisking it into the water for two or three minutes until everything is uniform. Simmer over low heat for about 20 minutes, stirring occasionally to precent sticking and ensure everything stays uniform, until the cornmeal is tender and thick. Add 2 or 3 tablespoons of olive oil, some salt, and a hefty grating of black pepper, and stir together. Turn off the flame.
Pour all the mushrooms on top of the polenta and spread them around evenly. Scatter 1/4 cup of grated Parmesan on top and put the skillet in the middle of the oven.
Bake the polenta for about 15 minutes—the mushrooms should be getting browner and the polenta should be bubbling a bit at the edges. Remove from the oven. That's it—this is ready to serve. We recommend serving this at table straight from the skillet and passing more grated Parmesan. This is delicious alongside a nice arugula salad with a simple vinaigrette, and, to drink, a nice beer. Oberon Ale from Bells Brewery is a great choice with this simple, hearty dish.
Note: This dish is best eaten fresh from the oven. Leftovers will solidify into a slab of mushroom-covered polenta. And you can reheat it and eat it that way, even coaxing a little water into it, but while still delicious, it will be a different experience.