복소기하학연구단
Speaker Kyoung-Seog Lee POSTECH Intersections of two quadrics form an interesting class of algebraic varieties and they have been intensively studied from various aspects. In these talks, I will discuss these various aspects of the intersection of two quadrics and how to interpret/generalize some of the classical algebraic geometry results using the derived …
Speaker Kyoung-Seog Lee POSTECH Intersections of two quadrics form an interesting class of algebraic varieties and they have been intensively studied from various aspects. In these talks, I will discuss these various aspects of the intersection of two quadrics and how to interpret/generalize some of the classical algebraic geometry results using the derived …
Speaker Sui-Chung Ng ECNU A complex algebraic surface is called an elliptic surface if it is a fiber surface whose general fibers are elliptic curves. An elliptic surface can also be regarded as an elliptic curve $E$ over the function field $K$ of an algebraic curve. The holomorphic sections of that elliptic surface …
Speaker Yun Gao Shanghai Jiao Tong U Hilbert's 17-th problem asked whether a non-negative polynomial in several real variables must be a sum of squares of rational functions. There is also a quantitative version of Hilbert's 17th problem which asks how many squares are needed. D'Angelo extend this problem to more general case …
Speaker Yen-An Chen KIAS For Fano varieties, significant progress has been made recently in the study of K-stability, while the understanding of the weaker but more algebraic concept of $(−K)$-slope stability remains intricate. For instance, a conjecture attributed to Iskovskikh states that the tangent bundle of a Picard rank one Fano manifold is …
Speaker Taiki Takatsu Tokyo University of Science We will discuss Mukai’s conjecture that the virtual cohomological dimension of the automorphism group of a K3 surface is equal to the maximum rank of its Mordell-Weil groups. The action of the automorphism group on the second cohomology induces a natural action on a hyperbolic space. …
Speaker Katharina Neusser Masaryk University A cone structure on a manifold $M$ is given by a closed submanifold $\mathcal C\subset \mathbb P TM$ of the projectived tangent bundle of $M$, which is submersive over $M$. Such geometric structures arise naturally in differential and algebraic geometry and they come often equipped with a conic …
Speakers Invited Lecturers (three one-hour lectures) Dawei Chen (Boston College) Gavril Farkas (Humboldt University of Berlin) Francesco Russo (University of Catania) Invited Speakers (one-hour talk) Minyoung Jeon (IBS-CCG) Donggun Lee (KIAS) Li Li (IBS-CCG) Abstracts PDF file Schedule Mar 10 (Tue) Mar 11 (Wed) Mar 12 (Thu) Mar 13 (Fri) 10:00~11:00 Russo, Lec 1 Russo, …
Speaker Dae-Won Lee Ewha Womans University The study of cylinders in normal projective varieties is of significant interest due to their intrinsic link to unipotent group actions on affine algebraic varieties. Over a field $\mathbb{k}$ of characteristic zero, it is known that cylindricity in lower-dimensional varieties (appearing as generic fibers) implies the existence …
Speaker Dae-Won Lee Ewha Womans University This talk provides a brief survey of recent results and applications concerning the anticanonical minimal model program. Furthermore, we present examples of varieties that admit an anticanonical minimal model despite not being Mori dream spaces. This talk is based on joint work with Sung Rak Choi, Sungwook …
Speakers Shigeyuki Kondo (Nagoya University) JongHae Keum (KIAS) Fei Si (Xi’an Jiaotong University) Kyoung-Seog Lee (POSTECH) Sang-Bum Yoo (Gongju National University of Education) Junchao Shentu (USTC) Haesong Seo (IBS-CCG/KAIST) Minzhe Zhu (KIAS) Yen-An Chen (KIAS) Abstracts PDF file Schedule May 27(Wed) 15:00-16:00, Shigeyuki Kondo 16:30-17:30, JongHae Keum May 28(Thu) 11:00-12:00, Fei Si 13:30-14:30, Kyoung-Seog Lee …
Speaker Hyunmoon Kim Ewha Womans University We present a quadratic Morse-Bott function on the real Grassmannian of a symplectic vector space from a compatible linear complex structure. Its stable manifolds generalize the Lagrangian, symplectic, isotropic, and coisotropic Grassmannians to include the Grassmannians of linear subspaces that are neither isotropic, coisotropic, nor symplectic. The …