• Compact complex parallelisable nilmanifolds with unobstructed deformations

    B236-1 IBS, Korea, Republic of
    Algebraic Geometry Seminar

        Speaker Sönke Rollenske Marburg University Compact quotients of non-abelian complex nilpotent Lie groups are non-Kähler manifolds with trivial canonical bundle, the most prominent example being the Iwasawa manifold. We give a precise characterisation of the (rare) cases where deformations of such manifolds are unobstructed in terms of so-called verbal ideals in free nilpotent

  • KSBA moduli compactifications and weighted stable hyperplane arrangements

    B236-1 IBS, Korea, Republic of
    Algebraic Geometry Seminar

        Speaker Xian Wu Yonsei University We begin with an overview of the framework of KSBA (Kollár—Shepherd-Barron—Alexeev) moduli spaces and stable degenerations, emphasizing some phenomena that distinguish the higher-dimensional cases from the Deligne–Mumford moduli of stable curves. We then survey several existing explicit constructions of KSBA compactifications. As a detailed example, we discuss the