| Budget Amount *help |
¥17,030,000 (Direct Cost: ¥13,100,000、Indirect Cost: ¥3,930,000)
Fiscal Year 2022: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
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: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2018: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
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| Outline of Final Research Achievements |
I studied the theory of mod p representations of p-adic groups by linking it to the representation theory of pro-p Iwahori-Hecke algebras with the goal of contributing to the mod p Langlands correspondence. While it was already known that there was a partial correspondence between the irreducible representations of the pro-p Iwahori-Hecke algebra and the irreducible mod p representations, I upgraded this correspondence to a categorical level.
Furthermore, with the aim of investigating the representation theory of compact open subgroups, I studied the theory of algebraic representations of reductive algebraic groups and provided a new realization of the Hecke category that describes the structure of algebraic representations. As a joint work with F. Herzig, I studied the irreducibility of principal series representations of p-adic Banach representations, which are as significant as mod p representations.
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