|Budget Amount *help
¥17,940,000 (Direct Cost: ¥13,800,000、Indirect Cost: ¥4,140,000)
Fiscal Year 2010: ¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2009: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2008: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2007: ¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Hyperbolic group was invented by Gromov in 80's. We aim to use hyperbolicity in broader objects. We constructed many quasi-homomorphisms on Kac-Moody groups. We obtained a first finitely presented, simple group with infinite commutator width (with Caprace). Using quasi-homomorphisms, we characterized rank-1 manifolds among complete Riemann manifold of non-positive curvature of finite volume (with Bestvina).