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Michel Brion, Introduction to Symmetric Spaces
Michel Brion, Introduction to Symmetric Spaces
Speaker Michel Brion U. Grenoble This is an introductory lecture on symmetric spaces in algebraic geometry.
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Complex Geometry Seminar
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Michel Brion, Introduction to Complete Symmetric Varieties
Michel Brion, Introduction to Complete Symmetric Varieties
Speaker Michel Brion U. Grenoble This is an introductory lecture on compactifications of symmetric spaces in algebraic geometry.
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In-Kyun Kim, Wall-crossing of K-moduli Spaces of Weighted Projective Spaces
In-Kyun Kim, Wall-crossing of K-moduli Spaces of Weighted Projective Spaces
Speaker In-Kyun Kim KIAS In algebraic geometry, constructing moduli spaces that parametrize families of algebraic varieties with certain properties is an important problem. In the case of Fano varieties, the construction of moduli spaces is a challenging problem. K-stability provides a criterion for selecting nice representatives within the moduli space, which helps create …
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Chuyu Zhou, K-stability of Fano Varieties – Various Viewpoints
Chuyu Zhou, K-stability of Fano Varieties – Various Viewpoints
Speaker Chuyu Zhou Yonsei University We will present various criterion for K-stability for Fano varieties, including viewpoints from test configurations, valuations, and filtrations.
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Chuyu Zhou, Moduli for Fano Varieties with K-stability
Chuyu Zhou, Moduli for Fano Varieties with K-stability
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.
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Chuyu Zhou, Wall Crossing for K-stability
Chuyu Zhou, Wall Crossing for K-stability
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.
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Benjamin Bakker, Hodge Theory and Lagrangian Fibrations
Benjamin Bakker, Hodge Theory and Lagrangian Fibrations
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 …
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Benjamin Bakker, A Proof of Matsushita’s Conjecture
Benjamin Bakker, A Proof of Matsushita’s Conjecture
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 …