복소기하학연구단
Speaker Yen-An Chen National Taiwan University In recent years, there are significant developments of the minimal model program for foliated varieties. It is intriguing to ask if Fano foliations form a bounded family. It is anticipated that Borisov-Alexeev-Borisov conjecture also holds in the context of foliations. In this talk, I will discuss the …
Speaker Luca Schaffler Roma Tre University Smooth minimal surfaces of general type with K2=1, pg=2, and q=0 constitute a fundamental example in the geography of algebraic surfaces, and the 28-dimensional moduli space M of their canonical models admits a modular compactification M via the minimal model program. We describe eight new irreducible boundary …
Speaker Sungmin Yoo Incheon National University Following the Yau-Tian-Donaldson conjecture, the construction of sequences of Bergman-type metrics converging to a canonical metric on a polarized manifold has been studied by many mathematicians including Tian, Donaldson, Tsuji, Berman, Berndtsson, and others. In this talk, I will introduce my recent findings on the uniform convergence …
Speaker Yonghwa Cho Gyeongsang National University Consider a smooth projective variety of codimension e. A general projection from a linear subspace of dimension (e-2) is birational, hence the non-isomorphic locus forms a proper closed subset of X. Mumford showed that this non-isomorphic locus is not merely a closed subset, but is naturally endowed …
Speaker Sung Wook Jang IBS CCG Minimal model program (abbreviated as MMP) is a central problem in birational geometry. The MMP is a sequence of divisorial contractions or flips, which makes the canonical divisor closer to a nef divisor. If the MMP successfully terminates, then we have either a minimal model or a …
Speaker Sung Wook Jang IBS CCG We are interested in an anticanonical divisor and hope to establish the MMP for an anticanonical divisor. We believe that the beginning point is the potential log discrepancy that controls singularities of a possible resulting model of MMP for an anticanonical divisor. In this talk, we will …
Speaker Sung Wook Jang IBS CCG We can run an MMP for an lc pair. However, in general, we do not know whether the MMP terminates or not. Nevertheless, we can show that special MMP terminates. Immediately, we can prove the existence of minimal models for certain pairs. Analogously, for an anticanonical divisor, …
Speaker Shuang Su University of Cologne In this talk, I will talk about the joint work with Duc-Viet Vu. We establish an optimal upper bound for the volumes of components of Lelong upper level sets of closed positive (1,1)-currents, in terms of non-pluripolar products of currents.
Speakers Tatsuyuki Hikita (RIMS) Byung-Hak Hwang (KIAS) Takeshi Ikeda (Waseda University) Minyoung Jeon (University of Georgia) Donggun Lee (IBS-CCG) Eunjeong Lee (Chungbuk National University) Seung Jin Lee (Seoul National University) Mikiya Masuda (OCAMI) Seonjeong Park (Jeonju University) Martha Precup (Washington University in St. Louis) Mark Skandera (Lehigh University) John Shareshian (Washington University in St. Louis) …
Speaker Sung-Yeon Kim IBS CCG Let G be a complex semisimple Lie group, P be a parabolic subgroup and G0 be a real form of G. Then the flag manifold G/P decomposes into finitely many G0-orbits. The complex structure of G/P yields a natural homogeneous CR manifold structure on the real orbits such …
Speaker Sung-Yeon Kim IBS CCG In this talk, we study the rigidity of proper holomorphic maps f: Ω→Ω' between irreducible bounded symmetric domains Ω and Ω'. First, we will define the moduli maps induced by f. This moduli maps are CR maps between real orbits in flag maniflods. If the rank difference is …
Speaker Ngoc Cuong Nguyen KAIST We survey recent developments on the speed of convergence of Fekete points on projective manifolds where the equidistribution was proved by Berman and Boucksom (2011). In particular, the convergence speed can be obtained for a large class of polynomially cuspidal compact sets introduced by Pawłucki and Pleśniak (1988). …