Kangjin Han, Secant variety and its singularity I

B266 IBS, Korea, Republic of

     Speaker Kangjin Han DGIST Secant variety (or more generally Join) construction is one of the main methods to construct a new geometric object from the original one in classical algebraic geometry. In this series of talks, we first consider some general facts on secant varieties and then focus on a specific topic, i.e.

Kangjin Han, Secant variety and its singularity II

B266 IBS, Korea, Republic of

     Speaker Kangjin Han DGIST Secant variety (or more generally Join) construction is one of the main methods to construct a new geometric object from the original one in classical algebraic geometry. In this series of talks, we first consider some general facts on secant varieties and then focus on a specific topic, i.e.

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

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