For the asparagus purée:
- Bring a saucepan of salted water to a boil.
- Add the asparagus; cook until tender and drain.
- Place the asparagus, butter, and lemon juice in a blender and purée until smooth.
- Set aside, keeping warm.
For the shiitake mushrooms:
- In a sauté pan, heat the extra virgin olive oil and butter.
- Add the shallot and garlic and cook until translucent.
- Add the mushrooms and peas and cook until tender, about five minutes.
- Season and set aside, keeping warm.
For the lobster emulsion:
- In a sauté pan, bring the lobster stock to a boil.
- Add the butter, lemon juice, and cayenne pepper.
- With a hand-held immersion blender, purée the mixture until emulsified.
- Season with salt and set aside, keeping warm.
For the cod filets:
- Season the filets with salt and pepper and dust with the porcini powder.
- In a sauté pan, heat the canola oil.
- Sear the filets on both sides until desired doneness.
To serve:
- Spoon a portion of the asparagus purée in the center of a plate and arrange the shiitake mixture on top.
- Place a cod filet on top of the mushrooms and spoon the lobster emulsion around the plate.
- Garnish with a sprig of tarragon.