Non-invariant deformations of left-invariant complex structures on compact Lie groups

Abstract: It is known that every compact Lie group of even dimension admits left-invariant complex structures. We study deformations of left-invariant complex structures on simply connected semisimple compact Lie groups which are non-invariant. We compute cohomology of vector bundles for such non-invariant complex structures and see the difference between invariant complex structures and non-invariant complex structures. This talk is a joint work with Hiroaki Ishida (Kagoshima).

algebraic geometryalgebraic topologycomplex variablesdifferential geometrygeometric topologysymplectic geometry

Audience: researchers in the topic

2021 Pacific Rim Complex & Symplectic Geometry Conference