Lothar grew up in Rostland. While life there wasn't perfect, he knows that it could have been much worse if he'd had the misfortune to be a half-orc in a different kingdom. As a result he is a fervent patriot, both out of personal gratitude and because he believes that Brevoy's tolerant attitude toward all races is simply superior.
Like many young men, Lothar grew up wanting to learn how to fight. Rather than seek out formal instruction in the Aldori dueling schools, however, he spent much of his adolescence traveling with the barbarian tribes of Numeria. There he learned how to handle himself in combat. He also discovered his penchant for showmanship, a talent that eventually led the tribe to instruct him in the ways of their warrior-poets.
Lothar is interested in joining the expedition because he believes that preserving a balance between Rostland and Issia is the best way to avoid civil war. He also believes that the expedition will also lead to a stronger Brevoy. If it gives him a chance to establish fame and fortune in his own right, well, he's certainly not going to turn it down.