Resumen de Subconvexity for sup-norms of cusp forms on PGL(n)

Valentin Blomer, Péter Maga

• Let F be an L2-normalized Hecke Maaß cusp form for 0(N) ⊆ SLn(Z) with Laplace eigenvalue λF . If  is a compact subset of 0(N)\PGLn/POn, we show the bound F|∞  Nελn(n−1)/8−δ F for some constant δ = δn > 0 depending only on n.