Emerging Chef-in-Residence: Chef Pyet DeSpain, Native American & Mexican Fusion An ever-changing dining experience, Abernethy’s is a destination restaurant highlighting the cultures, people, and flavors of Los Angeles. With up-and-coming chefs and new menus for special limited engagements, this restaurant provides diners an opportunity to explore the diverse flavors and people of L.A. Parking available at The Music Center Garage for $9 after 4:30 pm.