| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
I have studied the stable homotopy category and its localizations by means of quasi-categories. Through spectral sequences, the stable homotopy category and its Bousfield localizations are considered to be related to the categories of representations for some groups and their derived categories. I gave a formulation of this relationship through the theories of model categories and quasi-categories. I have also constructed a functor between algebraic models of Bousfield localizations of the stable homotopy category via Morava K-theories. Furthermore, based on these, I have also studied more general moduli spaces of representations.
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