On endoscopies and Langlands correspondences for reductive groups and its covering groups.

Research Project

Project/Area Number	26400010
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Multi-year Fund
Section	一般
Research Field	Algebra
Research Institution	Kyoto University
Principal Investigator	Hiraga Kaoru 京都大学, 理学研究科, 講師 (10260605)
Project Period (FY)	2014-04-01 – 2018-03-31
Project Status	Completed (Fiscal Year 2017)
Budget Amount *help	¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000) Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000) Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000) Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000) Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords	簡約代数群の被覆群の表現
Outline of Final Research Achievements	Langlands correspondence and Langlands functoriality are major problems in number theory. Endoscopies are special types of Langlands functoriality and the theory of the ones corresponding to the classical groups are drastically developed recently. Contrary to this, very few is known about endoscopies for covering groups. In this study, we obtained basic results relating to the endoscopic transfer for a small covering group and the trace formula for another small covering group.

Report

(5 results)