| kasuya(@math.sci.osaka-u.ac.jp) | |
| Research |
Complex Geometry, Lie groups and Homogeneous spaces |
| Keywords | Hodge theory, Kähler and non-Kähler, Solvable groups and semi-simple groups |
| URL | https://sites.google.com/site/hisashikasuyamath/home |
Until now, I have tried to extend the geometry of nilpotent groups to the geometry of solvable groups. More precisely, I have studied the cohomology theory of homogeneous spaces of solvable Lie groups and complex geometry of non-Kähler manifolds. It seems that the gap between nilpotent groups and solvable groups is small. But this gap contains a potential for geometry. By the growing out of left-invariance and non-triviality of local system cohomology, I succeeded in giving a great surprise.
Recently, I am interested in the geometry which relates to reductive or semi-simple groups in contrast to nilpotent or solvable groups In particular, I study non-abelian Hodge theory, variations of hodge structures, lattices in semi-simple Lie groups and locally homogeneous spaces.
