복소기하학연구단
Speaker Guolei Zhong IBS CCG A Q-Cartier divisor on a normal projective variety is said to be strictly nef, if it has positive intersection with every integral curve. It has been a long history for people to measure how far a strictly nef divisor is from being ample. In this talk, I will …
Speaker Guolei Zhong IBS-CCG As a fundamental building block of the equivariant minimal model program, the rationally connected variety plays a significant role in the classification of projective varieties admitting non-isomorphic endomorphisms. Twenty years ago, Nakayama confirmed Sato’s conjecture that, a smooth projective rational surface is toric if and only if it admits …
Schedule Feb. 27 N-resolutions Giancarlo Urzua (UC Chille) 13:30-14:20 Smooth Projective Surfaces with Pseudo-effective Tangent Bundles Guolei Zhong (IBS-CCG) 14:40-15:30 Nodal Surfaces and Cubic Discriminants Yonghwa Cho (IBS-CCG) 15:50-16:40 Lagrangian Fibration Structure on the Cotangent Bundle of a Del Pezzo Surface of Degree 4 Hosung Kim (IBS-CCG) 17:00-17:50 Dinner 18:20-20:00 Feb. 28 Deformations …
Speaker Guolei Zhong IBS CCG (This is a part of Seminars on Algebraic Surfaces and Related Topics.) A vector bundle over a projective manifold is said to be pseudo-effective if the tautological line bundle of its Grothendieck projectivization is pseudo-effective. In this talk, I will show that a smooth non-uniruled projective surface S …
Speakers Taeyong Ahn (Inha University) Ye-Won Luke Cho (Pusan National University) Young-Jun Choi (Pusan National University) Pham Hoang Hiep (Vietnam Academy of Science and Technology) Dinh Tuan Huynh (Hue University of Education-Hue University) Łukasz Kosiński (Jagiellonian University) Kang-Hyurk Lee (Gyeongsang National University) Man-Chun Lee (The Chinese University of Hong Kong) Hoseob Seo (Institute for Basic …
Speaker Guolei Zhong IBS-CCG In this talk, we discuss the structure of projective varieties with certain positive tangent sheaves. More precisely, when the tangent sheaf is almost nef or positively curved, we construct a well-defined MRC fibration and study the Fujita decomposition of reflexive sheaves. Besides, we show that the almost nefness of …
Speaker Guolei Zhong East China Normal University Positivity properties of tangent sheaves are known to impose strong restrictions on the global geometry of projective varieties and, more generally, compact Kähler varieties. In this talk, after briefly reviewing the background, we will present several structural results for compact Kähler varieties with pseudo-effective tangent sheaf. …