| Budget Amount *help |
¥79,040,000 (Direct Cost: ¥60,800,000、Indirect Cost: ¥18,240,000)
Fiscal Year 2019: ¥16,250,000 (Direct Cost: ¥12,500,000、Indirect Cost: ¥3,750,000)
Fiscal Year 2018: ¥16,250,000 (Direct Cost: ¥12,500,000、Indirect Cost: ¥3,750,000)
Fiscal Year 2017: ¥15,990,000 (Direct Cost: ¥12,300,000、Indirect Cost: ¥3,690,000)
Fiscal Year 2016: ¥20,150,000 (Direct Cost: ¥15,500,000、Indirect Cost: ¥4,650,000)
Fiscal Year 2015: ¥10,400,000 (Direct Cost: ¥8,000,000、Indirect Cost: ¥2,400,000)
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| Outline of Final Research Achievements |
During this project, Fujiwara with his joint work with Bestvina-Bromberg introduced the theory of Projection complex, and found several important applications. For example, we proved that a mapping class group acts on a finite product of quasi-tree with a QI-embedding orbit, and as a consequence it has finite asymptotic dimension. By now the technique of projection complex became an important tool in Geometric group theory.
Ozawa in his joint work with Kaluba-Novak proved that the automorphism group of the free group of rank 5 has property T, using computer. This settles a long standing problem. It also opens a new direction of research.
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