| Budget Amount *help |
¥17,030,000 (Direct Cost: ¥13,100,000、Indirect Cost: ¥3,930,000)
Fiscal Year 2022: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2021: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2020: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2019: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2018: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
|
|---|
| Outline of Final Research Achievements |
In this research project, we have constructed and applied new theories in multiple areas of algebraic geometry involving singularities, such as wild Deligne-Mumford stacks, motivic integration, and wild quotient singularities. Key achievements include the generalization of motivic integration to wild Deligne-Mumford stacks of equal characteristic, the proof of the wild McKay correspondence, the construction of the moduli space of formal torsors, the finiteness of the local etale fundamental group of two-dimensional KLT singularities, and the formulation of the Batyrev-Manin conjecture for Deligne-Mumford stacks. These research results were presented at several international conferences.
|
