| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
In this research, we have studied the global (Gan-)Gross-Prasad conjecture on the relation between periods of automorphic forms on special orthogonal and unitary groups and special values of automorphic L-functions. In particular, toward an application to relative trace formulas, we extended a theory of regularized periods which are not necessarily convergent to those appearing in the (Gan-)Gross-Prasad conjecture.
Also, as a local analogue of periods of automorphic forms, we have studied the relation between the harmonic analysis on reductive groups over local fields and arithmetic invariants. In particular, we proved that the formal degree conjecture, which relates the formal degrees of square-integrable representations with special values of adjoint gamma-factors, is compatible with the functorial lift defined by the local theta correspondence.
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