| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
With any two-dimensional toric weak Fano stack, we could associate a combinatorial object called a brane tiling, which allows us to describe the derived category of coherent sheaves on this stack in terms of representations of quivers. We have also proved homological mirror conjecture for a basic class of singularities called Brieskorn-Pham singularities. In a slightly different direction, we have computed the potential function for the torus fiber of the Gelfand-Cetlin system on flag varieties of type A.
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