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Nguyen Ngoc Cuong, Hölder Continuous Solutions to Complex Monge-Ampère Equations and its Applications
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 …
Jihun Yum, Classification of Domains that Admit the Bergman-Einstein Metric I
B266 IBS, Korea, Republic ofSpeaker Jihun Yum IBS, Center for Complex Geometry
Jihun Yum, Classification of Domains that Admit the Bergman-Einstein Metric II
B266 IBS, Korea, Republic ofSpeaker Jihun Yum IBS, Center for Complex Geometry
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 …
Nguyen Ngoc Cuong, Hölder Continuous Solutions to Complex Monge-Ampère Equations and its Applications II
B266 IBS, Korea, Republic ofSpeaker Nguyen Ngoc Cuong KAIST The Monge-Ampère equations provide Kähler-Einstein metrics on projective manifolds with negative or zero first Chern classes thanks to the AubinYau and Yau theorems. However, most projective manifolds do not have a negative definite or trivial first Chern class. The study of the canonical metric on these manifolds leads …
Jihun Yum, Isometric Embedding of Kähler Manifolds and the Diastatic Function
B266 IBS, Korea, Republic ofSpeaker Jihun Yum IBS, Center for Complex Geometry
Minseong Kwon, Integrability of G-structures III
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 previous two talks, we discussed the definition of the k-th order structure tensor of a G-structure. In the third talk, we will discuss how the structure tensors can be characterized …
Sung Yeon Kim, Nonsolvability of Lewy Operator and Non-realizable CR Structures
B266 IBS, Korea, Republic ofSpeaker Sung Yeon Kim IBS, Center for Complex Geometry