Families of Automorphic Forms and the Trace Formula

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Müller, Werner (Επιμελητής έκδοσης), Shin, Sug Woo (Επιμελητής έκδοσης), Templier, Nicolas (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Σειρά: Simons Symposia,
• Θέματα: Mathematics.; Harmonic analysis.; Convex geometry.; Discrete geometry.; Number theory.; Topology.; Abstract Harmonic Analysis.; Convex and Discrete Geometry.; Number Theory.

Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on th...

Πίνακας περιεχομένων:

• 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 their symmetry (P. Sarnak, S.-W. Shin, N. Templier). .