Dennis The, A Cartan-theoretic Perspective on (2,3,5)-distributions

B236-1 IBS, Korea, Republic of

     Speaker Dennis The UiT The Arctic University of Norway Generic rank 2 distributions on 5-manifolds, i.e. "(2,3,5)-distributions", are interesting geometric structures arising in the study of non-holonomic systems, underdetermined ODE of Monge type, conformal 5-manifolds with special holonomy, etc. The origins of their study date to Élie Cartan's "5-variables" paper of 1910, where

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

Seminars on Algebraic Surfaces and Related Topics

B236-1 IBS, Korea, Republic of

     Schedule 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 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

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