Level-raising and symmetric power functoriality, III
نویسندگان
چکیده
منابع مشابه
Functoriality and Reciprocity
A variant of the usual supersymmetric nonlinear sigma model is described, governing maps from a Riemann surface Σ to an arbitrary almost complex manifold M . It possesses a fermionic BRST-like symmetry, conserved for arbitrary Σ, and obeying Q = 0. In a suitable version, the quantum ground states are the 1+1 dimensional Floer groups. The correlation functions of the BRST-invariant operators are...
متن کاملLanglands Functoriality Conjecture
Functoriality conjecture is one of the central and influential subjects of the present day mathematics. Functoriality is the profound lifting problem formulated by Robert Langlands in the late 1960s in order to establish nonabelian class field theory. In this expository article, I describe the Langlands-Shahidi method, the local and global Langlands conjectures and the converse theorems which a...
متن کاملFunctoriality for the Exterior Square of Gl4 and the Symmetric Fourth of Gl2
Let ∧ : GLn(C) −→ GLN (C), where N = n(n−1) 2 , be the map given by the exterior square. Then Langlands’ functoriality predicts that there is a map from cuspidal representations of GLn to automorphic representations of GLN , which satisfies certain canonical properties. To explain, let F be a number field, and let A be its ring of adeles. Let π = ⊗ v πv be a cuspidal (automorphic) representatio...
متن کاملWhere Stands Functoriality Today?
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...
متن کاملRaising the entry level would be untimely.
"Intraprofessional Team BUilding" in the September 1987 issue (pp. 576582) was a pertinent and stimulating article ro me. Our Psychosocial Occupational Therapy Department at Christ Hospital and Medical Center consists of seven occu pational therapists (OTRs) and nine occupational therapy assistants (COTAs) who work together on occupational therapy teams. A typical team includes one therapist as...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2017
ISSN: 0012-7094
DOI: 10.1215/00127094-3714971