Langlands Functoriality Conjecture - Mathematics > Number TheoryReport as inadecuate

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Abstract: Functoriality conjecture is one of the central subjects of the present-daymathematics. Functoriality is the profound problem formulated by RobertLanglands in the late 1960s in order to establish nonabelian class fieldtheory. In this expository paper, we describe the Langlands-Shahidi method, thelocal and global Langlands conjectures and the converse theorems which arepowerful tools for the establishment of functoriality of some important cases,and survey the interesting results related to functoriality conjecture.

Author: Jae-Hyun Yang


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