Daniele Agostini, The Martens-Mumford Theorem and the Green-Lazarsfeld Secant Conjecture

B266 IBS, Korea, Republic of

     Speaker Daniele Agostini Eberhard Karls Universität Tübingen The syzygies of a curve are the algebraic relation amongst the equation defining it. They are an algebraic concept but they have surprising applications to geometry. For example, the Green-Lazarsfeld secant conjecture predicts that the syzygies of a curve of sufficiently high degree are controlled by

Laurent Stolovitch, Introduction to Normal Form Theory of Holomorphic Vector Fields 2

B236-1 IBS, Korea, Republic of

     Speaker Laurent Stolovitch Universite Cote d’Azur In this short lecture, I will introduce the notion of normal form and resonances. I will also explain the phenomenon of "small divisors" and give some fundamental results of holomorphic conjugacy to a normal form.

Yoon-Joo Kim, Isotrivial Fibrations of Compact Hyper-Kähler Manifolds

B266 IBS, Korea, Republic of

     Speaker Yoon-Joo Kim MPI-Bonn A compact hyper-Kähler (HK) manifold and its Lagrangian fibration are higher-dimensional generalizations of a K3 surface and its elliptic fibration. A Lagrangian fibration f : X → B of a HK manifold is called isotrivial if its smooth fibers are all isomorphic to each other; this is the most

Korea-Japan Conference in Algebraic Geometry

IBS Science Culture Center Daejeon, Korea, Republic of

Speakers Yonghwa Cho (IBS-CCG) Junho Choe (KIAS) Yoshinori Gongyo (Tokyo U.) Kenta Hashizume (Kyoto U.) Sukmoon Huh (Sungkyunkwan U.) WonTae Hwang (Jeonbuk National U.) Seung-Jo Jung (Jeonbuk National U.) Yeongrak Kim (Pusan National U.) Tasuki Kinjo (IPMU, Tokyo) Tatsuki Kuwagaki (Kyoto U.) Shin-ichi Matsumura (Tohoku U.) Yosuke Matsuzawa (Osaka Metropolitan U.) Jinhyung Park (KAIST) Kenta

Giancarlo Urzua, N-resolutions

B236-1 IBS, Korea, Republic of

     Speaker Giancarlo Urzua UC Chille (This is a part of Seminars on Algebraic Surfaces and Related Topics.) I will introduce N-resolutions, which are the negative analog of the Kollár--Shepherd-Barron (1988) P-resolutions of a 2-dimensional cyclic quotient singularity. (We instead work with the corresponding M-resolutions of Benkhe-Christophersen (1994).) I will start by describing an

Guolei Zhong, Smooth Projective Surfaces with Pseudo-effective Tangent Bundles

B236-1 IBS, Korea, Republic of

     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

Yonghwa Cho, Nodal Surfaces and Cubic Discriminants

B236-1 IBS, Korea, Republic of

     Speaker Yonghwa Cho IBS CCG (This is a part of Seminars on Algebraic Surfaces and Related Topics.) In this talk, I will explain how to associate a nodal surface in P3 with a cubic hypersurface, generalizing the method by Togliatti who constructed quintics with 31 nodes via a discriminant of a nodal cubic

Hosung Kim, Lagrangian Fibration Structure on the Cotangent Bundle of a Del Pezzo Surface of Degree 4

B236-1 IBS, Korea, Republic of

     Speaker Hosung Kim IBS CCG (This is a part of Seminars on Algebraic Surfaces and Related Topics.) The cotangent bundle of a complex projective manifold carries a natural holomorphic symplectic 2-form. The existence of a natural Lagrangian fibration structure of these non-compact complex manifolds has not been studied very much. In this talk,

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IBS Center for Complex Geometry
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