English

Langlands Functoriality Conjecture

Number Theory 2010-01-09 v1

Abstract

Functoriality conjecture is one of the central subjects of the present-day mathematics. Functoriality is the profound problem formulated by Robert Langlands in the late 1960s in order to establish nonabelian class field theory. In this expository paper, we describe the Langlands-Shahidi method, the local and global Langlands conjectures and the converse theorems which are powerful tools for the establishment of functoriality of some important cases, and survey the interesting results related to functoriality conjecture.

Cite

@article{arxiv.0808.0917,
  title  = {Langlands Functoriality Conjecture},
  author = {Jae-Hyun Yang},
  journal= {arXiv preprint arXiv:0808.0917},
  year   = {2010}
}

Comments

29 pages

R2 v1 2026-06-21T11:08:14.693Z