Rational points on compactifications of semi-simple algebraic groups
  We prove Manin's conjecture concerning the distribution of rational points of bounded height, and its refinement by Peyre, for wonderful compactifications of semi-simple algebraic groups over number fields. The proof proceeds via the study of the associated height zeta function and its spectral expansion. 
Joseph A. Shalika, Ramin Takloo-Bighash, Yuri Tschinkel