Twisted non-abelian Lubin-Tate theory
| Project/Area Number |
15K13424
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | The University of Tokyo |
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Principal Investigator |
MIEDA Yoichi 東京大学, 大学院数理科学研究科, 准教授 (70526962)
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 局所ラングランズ対応 / 非可換ルビン・テイト理論 / リジッド幾何 / Arthur分類 |
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| Outline of Final Research Achievements |
For a quadratic extension E/F of p-adic fields which is at worst tamely ramified, we constructed a new automorphism called the ``twisting operator'' on the Lubin-Tate space for GL(n,E). By combining the previously known fact that the etale cohomology of the Lubin-Tate space realizes the local Langlands correspondence for GL(n,E) and the analysis of the action of the twisting operator on the etale cohomology, we obtained a method of determining the parity of the L-parameter of a conjugate self-dual irreducible supercuspidal representation of GL(n,E).
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Report
(4 results)
Research Products
(6 results)
