In-Kyun Kim, TBA

B236-1 IBS, Korea, Republic of

    Speaker In-Kyun Kim KIAS TBA

Chuyu Zhou, Moduli for Fano Varieties with K-stability

B236-1 IBS, Korea, Republic of

    Speaker Chuyu Zhou Yonsei University We will present the construction of moduli space of Fano varieties with K-stability, including defining the moduli functor, showing various good properties of the functor, and introducing Alper-Halpern Leistner-Heinloth criterion for the existence of good moduli space.

Chuyu Zhou, Wall Crossing for K-stability

B236-1 IBS, Korea, Republic of

    Speaker Chuyu Zhou Yonsei University We will introduce a novel characteristic of K-stability, i.e. wall crossing phenomenon, and present a comparison between K-stability and GIT-stability. Time permitting, we will survey some open problems.

Benjamin Bakker, Hodge Theory and Lagrangian Fibrations

B236-1 IBS, Korea, Republic of

    Speaker Benjamin Bakker Univ. Illinois Chicago Compact hyperkahler manifolds X are higher-dimensional generalizations of K3 surfaces; their geometry is tightly constrained by the existence of a holomorphic symplectic form. For example, a result of Matsushita says the only nontrivial fibration structures f:X→B they admit are fibrations by Lagrangian tori. In this talk, I

Benjamin Bakker, A Proof of Matsushita’s Conjecture

B236-1 IBS, Korea, Republic of

    Speaker Benjamin Bakker Univ. Illinois Chicago Matsushita conjectured that for any Lagrangian fibration f:X→B of a compact hyperkahler manifold X, the fibers deform either maximally or trivially in moduli. In this talk I'll explain how to prove this conjecture via Hodge theory. I will also discuss some other features of the topology of

Sung Rak Choi, TBA

B236-1 IBS, Korea, Republic of

    Speaker Sung Rak Choi Yonsei University TBA

IBS 복소기하학연구단 Center for Complex Geometry
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IBS Center for Complex Geometry
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