복소기하학연구단
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). …
Invited Speakers (three one-hour lectures) Ekaterina Amerik (HSE U.) Yoonjoo Kim (Columbia U.) Zhiyuan Li (SCMS, Fudan U.) Keiji Oguiso (U. Tokyo) Abstracts PDF file Schedule March 10 (Monday) 14:00-15:00 Registration 15:00-16:00 Amerik, Lecture I 16:00-16:30 Coffee Break 16:30-17:30 Li, Lecture I 18:00-20:00 Speakers dinner March 11 (Tuesday) 11:00-12:00 Amerik, Lecture II 12:00-14:00 Lunch 14:00-15:00 …
Speaker Lorenzo Barban IBS CCG In this lecture series we aim to describe the rich relation between C*-actions on complex normal projetive varieties and the birational maps among the associated geometric quotients. We will begin this first seminar by explaining a motivating example, called the Atiyah flop. We will then discuss general results …
Speaker Lorenzo Barban IBS CCG In this second talk, which is the technical core of the lecture series, we describe several tools to study C*-actions on projective varieties, such as the bandwidth, the AMvsFM Lemma, and the pruning of a variety. With this, we will be able to describe the -birational geometry of …
Speaker Lorenzo Barban IBS CCG Given a birational map ϕ among normal projective varieties, a geometric realization of ϕ is a normal projective C*-variety such that the birational map among geometric quotients parametrizing general orbits coincides with ϕ. Geometric realizations can be thought of as a projective algebraic version of the notion of …
Mihai Paun Visitor (2025.3.26-2025.5.2) from Universität Bayreuth Office: B249
Speaker Mihai Paun U. Bayreuth I will present the main results and techniques in the preprint arxiv:2502.02183 (joint with J. Cao). This was motivated by the recent preprint by W. Ou, cf. arXiv:2501.1808 (especially by the algebraicity criteria for foliations on compact Kähler manifolds in this article). The first lecture is dedicated to …