JongHae Keum, Fake Projective Planes I
B236-1 IBS, Korea, Republic ofSpeaker JongHae Keum KIAS Fake projective planes (abbreviated as FPPs) are 2-dimensional complex manifolds with the same Betti numbers as the projective plane, but not isomorphic to it. FPPs can be uniformized by a complex 2-ball. In other words, they are ball quotients having the minimum possible Betti numbers. The existence of such …
JongHae Keum, Fake Projective Plane II
B236-1 IBS, Korea, Republic ofSpeaker JongHae Keum KIAS Fake projective planes (abbreviated as FPPs) are 2-dimensional complex manifolds with the same Betti numbers as the projective plane, but not isomorphic to it. FPPs can be uniformized by a complex 2-ball. In other words, they are ball quotients having the minimum possible Betti numbers. The existence of such …
Kangjin Han, Secant variety and its singularity I
B266 IBS, Korea, Republic ofSpeaker 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 ofSpeaker 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 (University of Tromso, Norway)
Dennis The Visitor (2023.1.30-2023.2.8) from University of Tromso, Norway Office: -
Dennis The, A Cartan-theoretic Perspective on (2,3,5)-distributions
B236-1 IBS, Korea, Republic ofSpeaker 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 …
Antonio Nigro (Universidade Federal Fluminense)
Antonio Nigro Visitor (2023.2.3-2023.2.9) from Universidade Federal Fluminense Office: -
Laurent Stolovitch (Universite Cote d’Azur, France)
Laurent Stolovitch Visitor (2023.2.4-2023.2.10) from Universite Cote d'Azur, France Office: -
Eunjeong Lee (이은정, Chungbuk National University)
Eunjeong Lee Visitor (2023.2.6-2023.2.9) from Chungbuk National University Office: -
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.