Asiago Chicken and Mushroom Skillet

1 pkg sliced cremini mushrooms

2 cloves garlic

1/2 cup heavy whipping cream

shaved asiago cheese

1/2 tsp coarse salt

2 tbsp olive oil

3 oz wisconsin asiago cheese

4 whole boneless skinless chicken breast

1/4 tsp pepper

2 tsp fresh rosemary

1 cup chicken broth