| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2018: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
A group is the mathematical term to study the symmetry that given objects have. The notion of a group naturally arises in various scientific studies and are considered one of the most basic and important objects of study. In literature, groups are mostly studied with algebraic or more recently geometric methods. The present research has focused on developing analytic methods for the study of groups. Analytic methods are used to connect the rough but robust geometric information of groups to the precise but fragile algebraic structural investigation. Our methods has connected previously unrelated areas of study and open up a new study horizon. In particular, we have solved the well-known longstanding problem about the rigidity aspect of the automorphism group of a free group, which is the group of the symmetry that the universal symmetry carries.
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