복소기하학연구단
Speaker Jinhyung Park Sogang University There are several definitions of the "numerical" Iitaka dimensions of a pseudoeffective divisor, which are numerical analogues to the Iitaka dimension. Recently, Lesieutre …
Speaker Sung Rak Choi Yonsei University We will investigate the subadditivity theorem of Okounkov bodies for algebraic fiber spaces. As an application, we obtain the subadditivity of the …
Speaker Changho Han University of Georgia Observe that any construction of "meaningful" compactification of moduli spaces of objects involve enlarging the class of objects in consideration. For example, …
Speaker Yoon-Joo Kim Stony Brook University A compact hyper-Kähler manifold is a higher dimensional generalization of a K3 surface. An elliptic fibration of a K3 surface correspondingly generalizes …
Speaker Yuchen Liu Northwestern University We show that K-moduli spaces of (P3, cS) where S is a quartic surface interpolates between the GIT moduli space and the Baily-Borel …
Speaker Yewon Jeong IBS, Center for Complex Geometry Given a hypersurface X = V(f) in a complex projective space, we say X is dual defective if the Gauss …
Speaker Zhi Jiang SCMS, Fudan University Syzygies of ample line bundles on abelian varieties have attracted lots of attentions in recent years. People tried to study these geometric …
Speaker Feng Shao IBS, Center for Complex Geometry Let X be a Fano manifold. While the properties of the anticanonical divisor -KX and its multiples have been studied …
Speaker Jie Liu Institute of Mathematics, AMSS, CAS It is expected that the bigness of tangent bundle is a quite restrictive property for Fano manifolds, especially for those …
Speaker Jihun Yum IBS, Center for Complex Geometry The Bergman kernel BX, which is by the definition the reproducing kernel of the space of L2 holomorphic n-forms on …
Speaker Giancarlo Urzúa Pontificia Universidad Catolica de Chile We defined wormholes in https://arxiv.org/abs/2102.02177 (joint with Nicolás Vilches). Conjecturally it is a way to non-continuous travel in the KSBA …
Speaker Kyoung-Seog Lee University of Miami Cox ring is an important tool in modern algebraic geometry and several other branches of mathematics. In the first part of this …