Yewon Jeong, Several Types of Dual Defective Cubic Hypersurfaces

TBA

     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 map of X, the restriction of the gradient map of f on X, has positive dimensional fibers. Especially for cubics, there is an interesting classification

Zhi Jiang, On Syzygies of Abelian Varieties

on-line

     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 objects by different methods, including Okounkov bodies, X-methods from MMP, and generic vanishing theory. We will report some progress on this subject based on the

Feng Shao, The Bigness of Tangent Bundles of Projective Manifolds

TBA

     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 by many authors, the positivity of the tangent bundle TX is much more elusive. In this talk, we give a complete characterization of the pseudoeffectivity

Jihun Yum, Limits of Bergman kernels on a Tower of Coverings of Compact Kähler Manifolds

B266 IBS, Korea, Republic of

     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 a n-dimensional complex manifold X, is one of the important objects in complex geometry. In this talk, we observe the asymptotics of the Bergman kernels,

Giancarlo Urzúa, Wormholes: MMP, Topology, Continued Fractions

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     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 compactification of the moduli space of surfaces of general type. It depends on a particular MMP. In that paper, we verified the conjecture in several

Algebraic Geometry Day at CCG in IBS

B266 IBS, Korea, Republic of

List of Seminars On the Singular Loci of Higher Secants of Veronese Varieties Kangjin Han (DGIST) 14:00-14:50, online Manin’s Conjecture for a Log Del Pezzo Surface of Index 2 DongSeon Hwang (Ajou Univ.) 15:20-16:10, IBS B266 Ulrich Bundles on Cubic Fourfolds Yeongrak Kim (Pusan National Univ.) 16:30-17:20, IBS B266

DongSeon Hwang, Manin’s Conjecture for a Log Del Pezzo Surface of Index 2

B266 IBS, Korea, Republic of

     Speaker DongSeon Hwang Ajou Univ. (This is a part of Algebraic Geometry Day at CCG in IBS.) Manin’s conjecture predicts the asymptotic behavior on the number of rational points of bounded anticanonical height on Fano varieties. In this talk, I will explain how the geometry governs the arithmetic in the case of a

Yeongrak Kim, Ulrich Bundles on Cubic Fourfolds

B266 IBS, Korea, Republic of

     Speaker Yeongrak Kim Pusan National Univ. (This is a part of Algebraic Geometry Day at CCG in IBS.) Ulrich bundles are geometric objects corresponding to maximally generated maximal Cohen-Macaulay modules, whose existence has several interesting applications in commutative algebra, homological algebra, and linear algebra. After a pioneering work of Beauville and Eisenbud-Schreyer, existence

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