GL_n中一些Hecke元素对可能分歧基变的转移
Transfers of some Hecke elements for possibly ramified base change in GL_n
摘要：
本文在较弱的假设下，证明了特征为零且具有奇剩余特征的局部域上一般线性群的（可能分歧的）循环基变换情形下某些Hecke元的一个显式匹配定理.根据Waldspurger和Ganapathy-Varma的工作，一个关键的观察是根据Waldspurger的基本工作“L 'endoscopie tordue n' est pas si tordue”，将基底变化升降机与扭曲的内窥镜升降机一起考虑，并将匹配轨道积分的条件替换为扭曲空间中半简单下降的条件。
英文摘要：
In this paper we prove an explicit matching theorem for some Hecke elements in the case of (possibly ramified) cyclic base change for general linear groups over local fields of characteristic zero with odd residue characteristic under a mild assumption. A key observation, based on the works of Waldspurger and Ganapathy-Varma, is to regard the base change lifts with twisted endoscopic lifts and replace the condition for the matching orbital integrals with one for semi-simple descend in the twisted space according to Waldspurger's fundamental work "L'endoscopie tordue n'est pas si tordue".
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