On smoothing singularities of elliptic orbital integrals on GL(n) and   Beyond Endoscopy
  Recent work of Altu\u{g} continues the preliminary analysis of Langlands' Beyond Endoscopy proposal for $GL(2)$ by removing the contribution of the trivial representation to the trace formula using a Poisson summation formula. We show that Altu\u{g}'s method of smoothing real elliptic orbital integrals by an approximate functional equation extends to $GL(n)$. We also discuss the case of an arbitrary reductive group, and remaining obstructions for applying Poisson summation. 
Oscar E. Gonz\'alez, Chung Hang Kwan, Steven J. Miller, Roger Van   Peski, Tian An Wong
math.NT math.RT