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NG&AT: Avner Segal (UBC) "Poles of the Standard L-function and Functorial Lifts for G2" | Einstein Institute of Mathematics

NG&AT: Avner Segal (UBC) "Poles of the Standard L-function and Functorial Lifts for G2"

Date: 
Mon, 25/12/201715:00-16:00
Location: 
Room 70A, Ross Building, Jerusalem, Israel
The functoriality conjecture is a key ingredient in the theory of automorphic forms and the Langlands program. Given two reductive groups G and H, the principle of functoriality asserts that a map r:H^->G^ between their dual complex groups should naturally give rise to a map r*:Rep(H)->Rep(G) between their automorphic representations. In this talk, I will describe the idea of functoriality, its connection to L-functions and recent work on weak functorial lifts to the exceptional group of type G_2.