نتایج جستجو برای: langlands functoriality

تعداد نتایج: 1083  

2014
T. O. Rot R. C. A. M. Vandervorst

In [13] a homology theory –Morse-Conley-Floer homology– for isolated invariant sets of arbitrary flows on finite dimensional manifolds is developed. In this paper we investigate functoriality and duality of this homology theory. As a preliminary we investigate functoriality in Morse homology. Functoriality for Morse homology of closed manifolds is known [1, 2, 3, 8, 14], but the proofs use isom...

Journal: :Journal of Knot Theory and Its Ramifications 2020

‎We illustrate a method of computing Langlands-Shahidi local coefficients via the theory of types and covers‎. ‎The purpose of this paper is to illustrate a method of computing the Langlands-Shahidi local coefficients using the theory of types and covers.

2017
Mirela Ben-Chen Frédéric Chazal Leonidas J. Guibas Sunghun Kim Claire Le Goues Michael Pradel Abhik Roychoudhury Nick Hawes Daniele Magazzeni Brian C. Williams Andrea Orlandini David Hausheer Oliver Hohlfeld Diego R. López Bruce MacDowell Maggs Marek Cygan Fedor V. Fomin Danny Hermelin Simon Gay Vasco T. Vasconcelos

This report provides an overview of the talks at the Dagstuhl Seminar 17021 “Functoriality in Geometric Data”. The seminar brought together researchers interested in the fundamental questions of similarity and correspondence across geometric data sets, which include collections of GPS traces, images, 3D shapes and other types of geometric data. A recent trend, emerging independently in multiple...

2009
Edward FRENKEL

In the late 1960s Robert Langlands launched what has become known as the Langlands Program with the ambitious goal of relating deep questions in Number Theory to Harmonic Analysis [L]. In particular, Langlands conjectured that Galois representations and motives can be described in terms of the more tangible data of automorphic representations. A striking application of this general principle is...

2001
Robert P. Langlands

The notion of functoriality arose from the spectral analysis of automorphic forms but its definition was informed by two major theories: the theory of class fields as created by Hilbert, Takagi, and Artin and others; and the representation theory of semisimple Lie groups in the form given to it by Harish-Chandra. In both theories the statements are deep and general and the proofs difficult, hig...

2017
Bill Casselman

In this essay I hope to explain the classification of characters of algebraic tori defined over R, particularly Langlands’ parametrization in terms of homomorphisms from the Weil group into the associated L-group. I’ll follow more or less the treatment in §§2 and 3 of [Langlands:1974/1989], avoiding most subsequent ‘improvements’. The only slightly new thing is how I relate Langlands’ formula f...

Journal: :Journal of Pure and Applied Algebra 2015

Journal: :Algebraic & Geometric Topology 2009

Journal: :Publications of the Research Institute for Mathematical Sciences 2008

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