Interactive developments of classification problems in noncommutative algebraic geometry and representation theory via triangulated categories
| Project/Area Number |
22540044
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Shizuoka University |
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Principal Investigator |
MORI Izuru 静岡大学, 理学部, 准教授 (50436903)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 環論 / 非可換代数幾何学 / 多元環の表現論 / AS-regular algebra / Fano algebra / McKay correspondence / AS-regular algebras / Fano algebras |
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| Research Abstract |
The major achievements of this research project are that we showed that there exist intimate relationships via triangulated categories between quantum projective spaces, which are important research objects in noncommutative algebraic geometry, and Fano algebras, which are important research objects in representation theory of finite dimensional algebras, and that we produced new results mainly in classification problems by applying results of noncommutative algebraic geometry and of representation theory of algebras to each other.
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Report
(4 results)
Research Products
(31 results)
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[Presentation] Quantum Beilinson algebras2010
Author(s)
Izuru Mori
Organizer
Test problems for the theory of finite dimensional algebras
Place of Presentation
Banff International Research Station, Banff, Canada (招待講演)
Year and Date
2010-09-16
Related Report
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