R201, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 201室)
$\gamma$-factors for Asai representations of $GL_2$
Shih-Yu Chen (National Tsing Hua University)
Abstract
Let 
be a Asai representation of 
over quadratic extension of 
-adic field.
We have established the identity between local factors of defined by Rankin-Selberg local zeta integrals and by the associated representation of the Weil-Deligne group.
I will explain the idea of proof and present the progress on the twisted Asai local factors. An application is a cuspidality criterion of global Asai transfers to 
. This is a joint work with Isao Ishikawa.
