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Construction of Endoscopy Correspondences for Classical Groups
江迪华教授(美国明尼苏达大学)
2018-01-01 12:13  华东师范大学

曹锡华代数论坛

报告人:江迪华教授(美国明尼苏达大学)

时间:2011年4月13日(星期三)上午10:00—11:00

地点:华东师范大学闵行校区数学系102报告厅

报告题目:

Construction of Endoscopy Correspondences for Classical Groups

摘要:

The endoscopy structures of discrete spectrum of automorphic forms for classical groups was discovered by the stable trace formula approach to establish certain Langlands functoriality. The recent proof of the Fundamental Lemma and its variants by Ngo and others made it possible to establish the existence of the endoscopy transfers for classical groups by Arthur stable trace formula.

In this talk, we report on my recent work joint with David Ginzburg and David Soudry, which gives integral transforms which explicitly construct certain families of endoscopy transfers for classical groups. The integrals are made of residues of certain Eisenstein series.