Eunjeong Lee (이은정, Chungbuk National University)
Eunjeong Lee Visitor (2023.2.6-2023.2.9) from Chungbuk National University Office: -
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Daniele Agostini, The Martens-Mumford Theorem and the Green-Lazarsfeld Secant Conjecture
B266 IBS, Korea, Republic ofSpeaker 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 1
B236-1 IBS, Korea, Republic ofSpeaker 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.
Laurent Stolovitch, Introduction to Normal Form Theory of Holomorphic Vector Fields 2
B236-1 IBS, Korea, Republic ofSpeaker 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 ofSpeaker 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 ofSpeakers 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 …
Seminars on Algebraic Surfaces and Related Topics
B236-1 IBS, Korea, Republic ofSchedule 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 …
Giancarlo Urzua, N-resolutions
B236-1 IBS, Korea, Republic ofSpeaker 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 ofSpeaker 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 ofSpeaker 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 ofSpeaker 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, …
Dongsoo Shin, Deformations of Sandwiched Surface Singularities and the Minimal Model Program
B236-1 IBS, Korea, Republic ofSpeaker Dongsoo Shin Chungnam National U. (This is a part of Seminars on Algebraic Surfaces and Related Topics.) We investigate the correspondence between three theories of deformations of rational surface singularities: de Jong and van Straten's picture deformations, Kollár's P-resolutions, and Pinkham's smoothings of negative weights. We provide an explicit method for obtaining, …