Center for Complex Geometry

Jihun Yum, Classification of Domains that Admit the Bergman-Einstein Metric II
2020-11-18 16:00 - 17:00 (Asia/Seoul) | B266, IBS, Korea, Republic of
Speaker

Jihun Yum
IBS, Center for Complex Geometry

Jihun Yum, Classification of Domains that Admit the Bergman-Einstein Metric I
2020-11-11 16:00 - 17:00 | B266, IBS, Korea, Republic of

Eunjeong Lee, Geometry of Flag Varieties and Related Combinatorics
2020-11-10 11:00 - 12:00 | B266, IBS, Korea, Republic of
Speaker

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 L on G/B. On the other hand, string polytopes are combinatorial objects which encode the characters of irreducible G-representations. One of the most famous examples of string polytopes is the Gelfand–Cetlin polytope, and there might exist combinatorially different string polytopes. The string polytopes are related to the flag varieties via the theory of Newton–Okounkov bodies. In this talk, we will study Gelfand–Cetlin type string polytopes, their enumerations, and we will present small toric resolutions of certain string polytopes. This talk is based on several collaborations with Yunhyung Cho, Jang Soo Kim, Yoosik Kim, and Kyeong-Dong Park.

Insong Choe, Minimal Rational Curves on the Moduli Spaces of Symplectic and Orthogonal Bundles over a Curve
2020-11-05 11:00 - 12:00 | B266, IBS, Korea, Republic of
Speaker

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. In particular, I explain how to construct an analogue of Hecke curves on the symplectic and orthogonal settings, and how to parameterize them. This is based on a joint work with Kiryong Chung and Sanghyeon Lee.

Nguyen Ngoc Cuong, Hölder Continuous Solutions to Complex Monge-Ampère Equations and its Applications
2020-11-04 11:00 - 12:00 | B266, IBS, Korea, Republic of

Minseong Kwon, Integrability of G-structures
2020-10-28 11:00 - 12:00 | B266, IBS, Korea, Republic of

Jun-Muk Hwang, VMRT of Unbendable Rational Curves Subordinate to Contact Structures
2020-10-20 11:00 - 12:00 | B236-1, IBS, Korea, Republic of

Sungyeon Kim, Proper Holomorphic Maps between Bounded Symmetric Domains
2020-10-14 10:30 - 11:30 | B236, IBS, Korea, Republic of

Hosung Kim, The Abel-Jacobi Mapping for Fano Threefolds
2020-10-06 11:00 - 12:00 | B236, IBS, Korea, Republic of

Jaehyun Hong, Stability of Tangent Bundles of Fano Manifolds
2020-09-22 11:00 - 12:00 | B236, IBS, Korea, Republic of

Qifeng Li, Unbendable Rational Curves of Goursat Type
2020-09-15 11:00 - 12:00 | B236, IBS, Korea, Republic of
