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 10:30 - 11:30, October 19, 2017 (Thursday) Room 201, 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 Taiwan 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. p.p1 {margin: 0.0px 0.0px 0.0px 0.0px; font: 12.0px 'Helvetica Neue'; color: #454545} 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.

 (C) 2017 National Center for Theoretical Sciences