복소기하학연구단
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 …
Speaker Jinhyung Park KAIST In 1986, Green-Lazarsfeld raised the gonality conjecture asserting that the gonality gon(C) of a smooth projective curve C of genus g can be read off from weight-one syzygies of a sufficiently positive line bundle L, and also proposed possible least degree of L, that is 2g+gon(C)-1. In 2015, Ein-Lazarsfeld …
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 …