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Gunhee Cho, The Lower Bound of the Integrated Carathéodory-Reiffen Metric and Invariant Metrics on Complete Noncompact Kähler Manifolds

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     Speaker Gunhee Cho UCSB We seek to gain progress on the following long-standing conjectures in hyperbolic complex geometry: prove that a simply connected complete Kähler manifold with negatively pinched sectional curvature is biholomorphic to a bounded domain and the Carathéodory-Reiffen metric does not vanish everywhere. As the next development of the important recent …

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Arithemetic Geometry Day in IBS-CCG

B266 IBS, Korea, Republic of

List of Seminars A Hyperelliptic Curve Mapping to Specified Elliptic Curves Bo-Hae Im (KAIST) 14:00-15:00, IBS B266 Jordan Constants of Simple Abelian Varieties over Fields of Positive Characteristic WonTae Hwang (Jeonbuk National Univ.) 15:15-16:15, IBS B266 Decidable Diophantine Problems on Character Varieties Junho Peter Whang (Seoul National Univ.) 16:30-17:30, IBS B266

Bo-Hae Im, A Hyperelliptic Curve Mapping to Specified Elliptic Curves

B266 IBS, Korea, Republic of

     Speaker Bo-Hae Im KAIST (This is a part of Arithemetic Geometry Day in IBS-CCG.) We are interested in the existence and non-existence of rational curves on certain Kummer varieties which can be applied to the rank problem of quadratic twists of elliptic curves. In this talk, we prove that if the j-invariants of …

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WonTae Hwang, Jordan Constants of Simple Abelian Varieties over Fields of Positive Characteristic

B266 IBS, Korea, Republic of

     Speaker WonTae Hwang Jeonbuk National Univ. (This is a part of Arithemetic Geometry Day in IBS-CCG.) We compute the Jordan constants of simple abelian surfaces over fields of positive characteristic, with the aid of a similar computation on the Jordan constants of some arithmetic objects. As an update, we also briefly record a …

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Junho Peter Whang, Decidable Diophantine Problems on Character Varieties

B266 IBS, Korea, Republic of

     Speaker Junho Peter Whang Seoul National Univ. (This is a part of Arithemetic Geometry Day in IBS-CCG.) Character varieties of manifolds are basic objects in geometry and low-dimensional topology. We motivate the Diophantine study of their integral points. After discussing an effective finite generation theorem for integral points on SL2-character varieties of surfaces, …

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Kang-Hyurk Lee, Smoothly Bounded Domain with a Compact Quotient

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     Speaker Kang-Hyurk Lee GNU The Wong-Rosay theorem says that a smoothly bounded domain covering a compact complex manifold is biholomorphically equivalent to the unit ball. The general methodology of this theorem is the affine rescaling method. In this talk, I will introduce the potential rescaling method, an alternative of the affine rescaling. This …

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Jeong-Seop Kim, Positivity of Tangent Bundles of Fano Threefolds

TBA

     Speaker Jeong-Seop Kim KAIST As well as the Hartshorne-Frankel conjecture on the ampleness of tangent bundle, it has been asked to characterize a smooth projective variety X whose tangent bundle TX attains certain positivity, e.g., nefness, k-ampleness, or bigness. But for the ampleness, the complete answers are not known even within the class …

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Duc-Viet Vu, Moser-Trudinger Inequalities and Complex Monge-Ampere Equations

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     Speaker Duc-Viet Vu Cologne I present a version of the Moser-Trudinger inequality in the setting of complex geometry. As a very particular case, the result already gives a new Moser-Trudinger inequality for functions in the Sobolev space W1,2 of a domain in R2. As an application, we deduce a new necessary condition for …

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Guolei Zhong, Strictly Nef Divisors on Singular Varieties

TBA

     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 …

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Atsushi Ito, Projective Normality of General Polarized Abelian Varieties

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     Speaker Atsushi Ito Okayama Univ. Projective normality is an important property of ample line bundles on algebraic varieties. In this talk, I will explain that a general g-dimensional polarized abelian variety is projectively normal if χ(X, L) > 22g-1. We note that this bound is sharp. A key tool is basepoint-freeness threshold, which …

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Yonghwa Cho, Nodal Sextics and Even Sets of Nodes

B234

     Speaker Yonghwa Cho IBS CCG It is a classical question to ask how many nodes may a surface contain. For sextics, the maximum number of nodes is 65, and is attained by Barth's example. We ask further: are all sextics with 65 nodes like Barth's example? To find an answer, we study even …

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IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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