2012 Fiscal Year Final Research Report
Study of the theta correspondence betweenunitary groups
| Project/Area Number |
21540020
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Kyushu University |
|---|
Principal Investigator |
KONNO Takuya 九州大学, 数理学研究院, 准教授 (00274431)
|
|---|
| Project Period (FY) |
2009 – 2012
|
| Keywords | 整数論 / 保型表現 / テータ対応 / endoscopy |
|---|
| Research Abstract |
In order to analyze arithmetic structures of automorphic representations of unitary groups of low rank, we tried several way to construct such automorphic representations as theta lifts. We obtain description of local theta correspondence between rank 2 unitary groups over local fields (also those between arbitrary real unitary groups) in terms of the endoscopic classification
|
