HIRACHI Kengo


平地 健吾 （ひらち けんご）
HIRACHI Kengo

HIRACHI Kengo
Title Professor
Affiliation Department of Mathematics (UG), Graduate School of Mathematical Sciences
E-mail
Room 411, Graduate School of Mathematical Sciences Bldg. 4F, Komaba Campus
TEL +81-3-5465-7032　|　47032（ext.）


Research Field

Differential Geometry, Complex Geometry

Research Subject

Invariants of conformal and CR manifolds

Current Research

I am studying the geometry of conformal and CR manifolds from the unified point of view of Parabolic geometry. To construct geometric invariants and invariant differential operators on these manifolds, I use the method of embedding them into higher dimensional Einstein manifolds; the invariants are then obtained from the asymptotic behavior of the Einstein metrics. This approach has good applications, e.g., for the asymptotic expansion of the Bergman kernel.

Keywords

CR manifold, coformal manifold, invariant differential operators, Bergman kernel, Einstein Equation

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