Lecture Series

• Stéphanie Cupit-Foutou (Ruhr-Universität Bochum)
  • Title: A gentle introduction to spherical and wonderful varieties.
  • Abstract: After having introduced complex spherical varieties and their main properties, we shall focus on wonderful varieties, which form a special class of spherical varieties. Some applications in Kähler geometry will be also discussed.

• Sung-Yeon Kim (IBS-CCG)
  • Title: Homogeneous CR manifolds
  • Abstract: Let G be a complex semisimple Lie group, P be a parabolic subgroup and G^0 be a real form of G. Then the flag manifold G/P decomposes into finitely many G^0-orbits. Among them there is exactly one orbit of minimal dimension, which is compact. The complex structure of G/P yields a natural homogeneous CR manifold structure on the minimal orbit such that all elements in G^0 are CR automorphisms. Shilov boundary of bounded symmetric domains are the well-known examples of such minimal orbits. In this talk, we study these minimal orbits from the point of view of CR geometry. In particular we characterize minimal orbits that are of finite type and satisfy various nondegeneracy conditions.

Research Talks

• Ye-won Luke Cho (Gyeongsang National University)
  Title: A brief introduction to singular Kähler-Einstein metrics
• Yun Gao (Shanghai Jiao Tong University)
  Title: Hyperplane restriction theorem and rigidity problems
• Shin-young Kim (Yonsei University)
  Title: Minimal rational curves on complete symmetric varieties
• Minseong Kwon (KAIST, IBS-CCG)
  Title: Spherical Varieties Parametrizing Conics in Adjoint Varieties
• Eunjeong Lee (Chungbuk National University)
  Title: Gorenstein toric Schubert varieties in Grassmannians
• Seungjae Lee (Kyungpook National University)
  Title: A version of L2-Hodge theory for complex hyperbolic space forms with finite volume
• Sungmin Yoo (Incheon National University)
  Title: Invariant weighted Bergman metrics