Chopin's qualities as a pianist and composer were recognized by many of his fellow musicians. Schumann named a piece for him in his suite Carnaval, and Chopin later dedicated his Ballade No. 2 in F major to Schumann. Elements of Chopin's music can be traced in many of Liszt's later works. Liszt later transcribed for piano six of Chopin's Polish songs. A less fraught friendship was with Alkan, with whom he discussed elements of folk music, and who was deeply affected by Chopin's death.
What piece of Chopin's work was dedicated to Schumann? 
Ballade No. 2 in F major