| Budget Amount *help |
¥12,220,000 (Direct Cost: ¥9,400,000、Indirect Cost: ¥2,820,000)
Fiscal Year 2019: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2018: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2017: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2016: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2015: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
|
|---|
| Outline of Final Research Achievements |
As for algebraic analysis, I studied irregular holonomic D-modules with Andrea D'Agnolo. One of main results is that the Laplace transforms of subanalytic onstructible sheaves are determined by local data. The method is totally topological. As for representation theory, I studied the cluster algebra structure of the quantum coordinate rings by using its monoidal categorification. As a byproduct, I proved that the cluster monomials correspond to simple modules in the monoidal categorification. This result solves affirmatively the conjecture due to Hernandez-Leclerc.
The key point of the proof is that a given monoidal cluster admits successive mutations once it admits the first-step mutations.
|
