(Talks will be in English.)
Kyeong-Dong Park - IBS-CGP
Title : Smooth Schubert varieties in rational homogeneous manifolds
Abstract : A rational homogeneous manifold is a homogeneous space G/P for a simple complex Lie group G and its parabolic subgroup P. The integral homology of a rational homogeneous manifold has a basis consisting of the homology classes of Schubert varieties. After discussing concrete examples of Schubert varieties, I will explain the classification results of smooth Schubert varieties in rational homogeneous manifolds with Picard number one, and characterize their standard embeddings by means of varieties of minimal rational tangents.
Carlos Scarinci - KIAS-CMC
Title: Ideal tetrahedra and their duals in 3-dimensional spacetimes
Abstract: In this talk I will present a unified description of hyperbolic, half-pipe and anti-de Sitter ideal tetrahedra based on generalized complex numbers. I will then introduce a new kind of tetrahedra in de Sitter, Minkowski and anti-de Sitter spaces using projective duality, and will discuss some of their properties and relations to generalized shear coordinates on the moduli spaces of constant curvature spacetimes in 3-dimensions.
Pak Tung Ho (Sogang University)
Title: Q-curvature in conformal geometry
Abstract: Q-curvature is a generalization of the Gaussian curvature.
In this talk, I will talk about the definition of Q-curvature and some of its properties.
I will then talk about some of the problems related to the Q-curvature, including the problem of prescribing Q-curvature.
Yunhyung Cho - Sungkyunkwan University
Title: Symplectic Geometry of Fano Varieties
Abstract: A Lagrangian submanifold L of a given symplectic manifold (M, ω) is a central object in the study of symplectic geometry of (M, ω). Especially a Lagrangian submanifold having non-trivial Floer cohomology plays a fundamental role in the mirror symmetry. In this talk, we discuss several ways of finding such Lagrangians and list some new results on this topic in the case where M is a smooth Fano variety.
Dinner in 萬德福(만덕복) 원더풀 샤부샤부