Beilinson–Bernstein Localization Over and Periods of Automorphic Forms

DOI10.1093/imrn/rns101zbMath1355.11058OpenAlexW2312843513MaRDI QIDQ5250690

Michael Harris

Publication date: 22 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rns101

zbMATH Keywords

Shimura varietiesautomorphic representationsBeilinson-Bernstein localizationIchino-Ikeda conjecturediscrete series Harish-Chandra modules

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Arithmetic aspects of modular and Shimura varieties (11G18) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (11)

On critical values of \(L\)-functions of potentially automorphic motives ⋮ \(p\)-adic and analytic properties of period integrals and values of \(L\)-functions ⋮ Half-integrality of line bundles on partial flag schemes of classical Lie groups ⋮ -ADIC -FUNCTIONS FOR UNITARY GROUPS ⋮ Rational structures on automorphic representations ⋮ On period relations for automorphic 𝐿-functions I ⋮ An automorphic variant of a conjecture of Deligne ⋮ Flat base change formulas for \((\mathfrak{g}, K)\)-modules over Noetherian rings ⋮ On tensor product \(L\)-functions for quaternion unitary groups and \(\mathrm{GL}(2)\) over totally real number fields: mixed weight cases ⋮ Shimura Varieties for Unitary Groups and the Doubling Method ⋮ dg analogues of the Zuckerman functors and the dual Zuckerman functors. I

This page was built for publication: Beilinson–Bernstein Localization Over and Periods of Automorphic Forms