복소기하학연구단
Speaker Luca Schaffler Roma Tre University The moduli space of hyperplanes in projective space has a family of geometric and modular compactifications that parametrize stable hyperplane arrangements with respect to a weight vector. Among these, there is a toric compactification that generalizes the Losev-Manin moduli space of points on the line. We study …
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 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, …
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) …
Invited Speakers (three one-hour lectures) Ekaterina Amerik (HSE U.) Yoonjoo Kim (Columbia U.) Zhiyuan Li (SCMS, Fudan U.) Keiji Oguiso (U. Tokyo) Abstracts TBA Schedule TBA Organizers Jun-Muk Hwang (IBS-CCG) Yongnam Lee (IBS-CCG / KAIST) Venue B109, IBS, Daejeon, Korea Registration TBA More Information • How to get to IBS-CCG
Invited Speakers 2-hours lectures Bin Guo (Rutgers U.) Shigeharu Takayama (U. Tokyo) David Witt Nytröm (Chalmers U.) 1-hour talks Damian Brotbek (U. Lorraine) Young-Jun Choi (Pusan National U.) Jie Liu (AMSS, CAS) Shinichi Matsumura (Tohoku U.) Dror Varolin (Stony Brook U.) Juanyong Wang (AMSS, CAS) Ming Xiao (U.C. San Diego) Junyi Xie (Peking U.) Abstracts …