“Fiesta!” says the Uruguayan-born composer Elbio Barilari, “features the hottest Latin-American music from the 16th to the 21st centuries.” Mr. Barilari, a faculty member of the University of Illinois at Chicago, is at the helm for this trip through the hidden pleasures of Latino concert music, including the magical rhythms of Silvestre Revueltas and Heitor Villa-Lobos and the power of symphonic tango. Plus, the series shares little-known treasures from the Latin-American Baroque, and celebrates classical guitar through the music of Agustin Barrios, Antonio Lauro, and Leo Brouwer.