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Complex Geometry Seminar
Jaehyun Hong, Stability of Tangent Bundles of Fano Manifolds
B236 IBS, Korea, Republic ofHosung Kim, The Abel-Jacobi Mapping for Fano Threefolds
B236 IBS, Korea, Republic ofJun-Muk Hwang, VMRT of Unbendable Rational Curves Subordinate to Contact Structures
B236-1 IBS, Korea, Republic ofMinseong Kwon, Integrability of G-structures
B266 IBS, Korea, Republic ofInsong Choe, Minimal Rational Curves on the Moduli Spaces of Symplectic and Orthogonal Bundles over a Curve
B266 IBS, Korea, Republic ofSpeaker Insong Choe Konkuk University Let M be the moduli of vector bundles over a curve of fixed determinant. It is known that the Hecke curves are rational curves of minimal degree on M passing through a general point of M. We prove a similar result for the moduli of symplectic and orthogonal bundles. …
Eunjeong Lee, Geometry of Flag Varieties and Related Combinatorics
B266 IBS, Korea, Republic ofSpeaker Enjeong Lee IBS-CGP For a semisimple algebraic group G and a Borel subgroup B, the homogeneous space G/B, called the flag variety, is a smooth projective variety which has a fruitful connection with G-representations. Indeed, the set of global sections H0(G/B, L) is an irreducible G-representation for a very ample line bundle …
Kyeong-Dong Park, Kähler-Einstein Metrics on Smooth Fano Symmetric Varieties with Picard Number One
B266 IBS, Korea, Republic ofSpeaker Kyeong-Dong Park IBS-CGP Symmetric varieties are normal equivarient open embeddings of symmetric homogeneous spaces and they are interesting examples of spherical varieties. I will prove that all smooth Fano symmetric varieties with Picard number one admit Kähler-Einstein metrics using a combinatorial criterion for K-stability of Fano spherical varieties obtained by Delcroix. To …
Minseong Kwon, Integrability of G-structures II
B266 IBS, Korea, Republic ofSpeaker Minseong Kwon KAIST This is a working seminar to introduce the notion of an integrable G-structure and its obstruction class. In the first talk, I discussed the definition of an integrable G-structure and introduced the existence theorem for the structure tensor. In this talk, I will construct the structure tensor of a …