. R T ] 4 M ay 2 01 7 ARTHUR PACKETS AND ADAMS - BARBASCH - VOGAN PACKETS FOR p - ADIC GROUPS , 1 : BACKGROUND AND CONJECTURES

نویسنده

  • BIN XU
چکیده

This paper begins the project of adapting the 1992 book by Adams, Barbasch and Vogan on the Langlands classification of admissible representations of real groups, to padic groups, continuing in the direction charted by Vogan in his 1993 paper on the Langlands correspondence. This paper presents three theorems in that direction. The first theorem shows how Lusztig’s work on perverse sheaves arising from graded Lie algebras may be brought to bear on the problem; the second theorem proves that Arthur parameters determine strongly regular conormal vectors to a parameter space of certain Langlands parameters; the third theorem shows how to replace the microlocalisation functor as it appears in the work of Adams, Barbasch and Vogan with a functor built from Deligne’s vanishing cycles functor. The paper concludes with three conjectures, the first of which is the prediction that Arthur packets are Adams-Barbasch-Vogan packets for p-adic groups. This paper is the first in a series.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Gains from diversification on convex combinations: A majorization and stochastic dominance approach

By incorporating both majorization theory and stochastic dominance theory, this paper presents a general theory and a unifying framework for determining the diversification preferences of risk-averse investors and conditions under which they would unanimously judge a particular asset to be superior. In particular, we develop a theory for comparing the preferences of different convex combination...

متن کامل

Improved immunogenicity of tetanus toxoid by Brucella abortus S19 LPS adjuvant.

BACKGROUND Adjuvants are used to increase the immunogenicity of new generation vaccines, especially those based on recombinant proteins. Despite immunostimulatory properties, the use of bacterial lipopolysaccharide (LPS) as an adjuvant has been hampered due to its toxicity and pyrogenicity. Brucella abortus LPS is less toxic and has no pyrogenic properties compared to LPS from other gram negati...

متن کامل

Steady electrodiffusion in hydrogel-colloid composites: macroscale properties from microscale electrokinetics.

A rigorous microscale electrokinetic model for hydrogel-colloid composites is adopted to compute macroscale profiles of electrolyte concentration, electrostatic potential, and hydrostatic pressure across membranes that separate electrolytes with different concentrations. The membranes are uncharged polymeric hydrogels in which charged spherical colloidal particles are immobilized and randomly d...

متن کامل

Perturbative Analysis of Dynamical Localisation

In this paper we extend previous results on convergent perturbative solutions of the Schrödinger equation of a class of periodically timedependent two-level systems. The situation treated here is particularly suited for the investigation of two-level systems exhibiting the phenomenon of (approximate) dynamical localisation. We also present a convergent perturbative expansion for the secular fre...

متن کامل

Collinear contextual suppression

The context of a target can modulate behavioral as well as neural responses to that target. For example, target processing can be suppressed by iso-oriented surrounds whereas it can be facilitated by collinear contextual elements. Here, we present experiments in which collinear elements exert strong suppression whereas iso-oriented contextual surrounds yield no contextual modulation--contrary t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2017