Families of Automorphic Forms and the Trace Formula

Werner Müller is Professor Emeritus at the Mathematical Institute of the University of Bonn. He is the author of over fifty publications, including articles in Inventiones Mathematicae, Geometric and Functional Analysis, and Communications in Mathematical Physics. His research interests include geometric analysis, scattering theory, analytic theory of automorphic forms, and harmonic analysis on locally symmetric spaces.Sug Woo Shin is Associate Professor of Mathematics at the University of California at Berkeley. His research is centered on number theory, Shimura varieties, Langlands functoriality, trace formula, and automorphic forms. His work has appeared in many journals, including Inventiones Mathematicae, Mathematische Annalen, and the Israel Journal of Mathematics.Nicolas Templier is Associate Professor of Mathematics at Cornell University. His work focuses on number theory, automorphic forms, arithmetic geometry, ergodic theory, and mathematical physics. His list of publications include articles in Inventiones Mathematicae, the Ramanujan Journal, and the Israel Journal of Mathematics.

• Germ expansions for real groups (J. Arthur).- Slopes of modular forms (K. Buzzard, T. Gee).- Transfer principles for bounds of motivic exponential functions (R. Cluckers, J. Gordon I. Halupczok).- Growth of Hecke fields along a p-adic analytic family of modular forms (H. Hida).- The trace formula and prehomogeneous vector spaces (W. Hoffmann).- The local Langlands conjectures for non-quasi-split groups (T. Kaletha).- Asymptotics and local constancy of characters of p-adic groups (J.-L. Kim, S.-W. Shin, N. Templier).- Endoscopy and cohomology of a quasi-split U(4) (S. Marshall).- Distribution of Hecke Eigenvalues for GL(n) (J. Matz).- Zeta functions for the adjoint action of GL(n) and density of residues of Dedekind zeta functions (J. Matz).- Some results in the theory of low-lying zeros of families of L-functions (B. Mackall, S. Miller, C. Rapti, C. Turnage-Butterbaugh, K. Winsor).- Asymptotics of automorphic spectra and the trace formula (W. Müller).- Families of L-functions and theirsymmetry (P. Sarnak, S.-W. Shin, N. Templier).