Project/Area Number |
23K20205
|
Research Category |
Grant-in-Aid for Scientific Research (B)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Review Section |
Basic Section 11010:Algebra-related
|
Research Institution | The University of Tokyo |
Principal Investigator |
Bondal Alexey 東京大学, カブリ数物連携宇宙研究機構, 客員上級科学研究員 (00726408)
|
Co-Investigator(Kenkyū-buntansha) |
大川 新之介 大阪大学, 大学院理学研究科, 准教授 (60646909)
桑垣 樹 京都大学, 理学研究科, 准教授 (60814621)
KAPRANOV MIKHAIL 東京大学, カブリ数物連携宇宙研究機構, 教授 (90746017)
|
Project Period (FY) |
2024-04-01 – 2025-03-31
|
Project Status |
Granted (Fiscal Year 2024)
|
Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2024: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
|
Keywords | coherent sheaf / reflexive sheaf / derived category / NCR |
Outline of Research at the Start |
In the first half of the academic year, we will concentrate on approaches to constructing similar schobers from the perspective of different areas of mathematics: algebraic geometry, representation theory, symplectic geometry, homological algebra. In the second half of the academic year, we will look on the applications of construction to various problems, such as the classification of algebras of finite global dimensions, derived equivalence of of partial noncommutative resolutions, description of Fukaya categories and their relation to quantization problems.
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