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Author : Jonathan Sparling
Release : 2009
Genre : Trace formulas
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis On the Local Relative Trace Formula by : Jonathan Sparling
Download or read book On the Local Relative Trace Formula written by Jonathan Sparling. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Chen Wan
Release : 2019-12-02
Genre : Education
Kind : eBook
Book Rating : 868/5 ( reviews)
Book Synopsis A Local Relative Trace Formula for the Ginzburg-Rallis Model: The Geometric Side by : Chen Wan
Download or read book A Local Relative Trace Formula for the Ginzburg-Rallis Model: The Geometric Side written by Chen Wan. This book was released on 2019-12-02. Available in PDF, EPUB and Kindle. Book excerpt: Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model. Then by applying such formula, the author proves a multiplicity formula of the Ginzburg-Rallis model for the supercuspidal representations. Using that multiplicity formula, the author proves the multiplicity one theorem for the Ginzburg-Rallis model over Vogan packets in the supercuspidal case.
Author : Chen Wan
Release : 2019
Genre :
Kind : eBook
Book Rating : 197/5 ( reviews)
Book Synopsis A Local Relative Trace Formula for the Ginzburg-Rallis Model by : Chen Wan
Download or read book A Local Relative Trace Formula for the Ginzburg-Rallis Model written by Chen Wan. This book was released on 2019. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Werner Müller
Release : 2016-09-20
Genre : Mathematics
Kind : eBook
Book Rating : 240/5 ( reviews)
Book Synopsis Families of Automorphic Forms and the Trace Formula by : Werner Müller
Download or read book Families of Automorphic Forms and the Trace Formula written by Werner Müller. This book was released on 2016-09-20. Available in PDF, EPUB and Kindle. Book excerpt: 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 the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.
Author : Ioan Filip
Release : 2016
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis A Local Relative Trace Formula for Spherical Varieties by : Ioan Filip
Download or read book A Local Relative Trace Formula for Spherical Varieties written by Ioan Filip. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt: Let F be a local non-Archimedean field of characteristic zero. We prove a Plancherel formula for the symmetric space GL(2,F)\GL(2,E), where E/F is an unramified quadratic extension. Our method relies on intrinsic geometric and combinatorial properties of spherical varieties and constitutes the local counterpart of the global computation of the Flicker-Rallis period as a residue of periods against Eisenstein series. We also give a novel derivation of the Plancherel formula for the strongly tempered variety T\PGL(2) over F (with maximal split torus T) using a canonical smooth asymptotics morphism and a contour shifting method. In this rank one local setting, our proof is similar to Langlands' proof over global fields describing the spectrum of a reductive group in terms of residues of Eisenstein series. Finally, using both L2-decompositions, we develop a local relative trace formula and outline a comparison result in the setting of the unitary rank one Gan-Gross-Prasad conjecture.
