Trumpeter Nicholas Payton emerged in the early 1990s as part of a new wave of young lions who picked up the trail left by the likes of Wynton Marsalis in the 1980s. The Crescent City native, who will be performing tonight and tomorrow at Blues Alley, is the son of respected bassist Walter Payton. Growing up, he studied and performed with some of the finest jazzers New Orleans had to offer. This upbringing has had…