Michel Brion, Introduction to Complete Symmetric Varieties
B236-1 IBS, Korea, Republic ofSpeaker Michel Brion U. Grenoble This is an introductory lecture on compactifications of symmetric spaces in algebraic geometry.
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Workshop on Geometry of Homogeneous Varieties
B109 IBS, Korea, Republic ofSpeakers Michel Brion (U. Grenoble) Jarek Buczynski (IMPAN, Warsaw) Thibaut Delcroix (U. Montpellier) Minseong Kwon (KAIST/IBS-CCG) Qifeng Li (Shandong U.) Yoshinori Namikawa (RIMS, Kyoto) Kyeong-Dong Park (Gyeongsang National U.) Boris …
In-Kyun Kim, Wall-crossing of K-moduli Spaces of Weighted Projective Spaces
B236-1 IBS, Korea, Republic ofSpeaker 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 …
Chuyu Zhou, K-stability of Fano Varieties – Various Viewpoints
B236-1 IBS, Korea, Republic ofSpeaker Chuyu Zhou Yonsei University We will present various criterion for K-stability for Fano varieties, including viewpoints from test configurations, valuations, and filtrations.
Chuyu Zhou, Moduli for Fano Varieties with K-stability
B236-1 IBS, Korea, Republic ofSpeaker 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 …
Chuyu Zhou, Wall Crossing for K-stability
B236-1 IBS, Korea, Republic ofSpeaker 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 …
Benjamin Bakker, Hodge Theory and Lagrangian Fibrations
B236-1 IBS, Korea, Republic ofSpeaker 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 …
Benjamin Bakker, A Proof of Matsushita’s Conjecture
B236-1 IBS, Korea, Republic ofSpeaker 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 …
Shigeyuki Kondo, A Review on Enriques Surfaces: Moduli, Automorphism Groups and Positive Characteristics, I
B236-1 IBS, Korea, Republic ofSpeaker Shigeyuki Kondo Nagoya University The Enriques surface was discovered, in 1894 by Federigo Enriques, as a counter-example of a rationality problem. First I would like to recall …
Shigeyuki Kondo, A Review on Enriques Surfaces: Moduli, Automorphism Groups and Positive Characteristics, II
B236-1 IBS, Korea, Republic ofSpeaker Shigeyuki Kondo Nagoya University The Enriques surface was discovered, in 1894 by Federigo Enriques, as a counter-example of a rationality problem. First I would like to recall …
Hsueh-Yung Lin, Motivic Invariants of Birational Automorphisms of Threefolds
B236-1 IBS, Korea, Republic ofSpeaker Hsueh-Yung Lin National Taiwan University The motivic invariant c(f) of a birational automorphism f : X - → X measures the difference between the birational types of …
Ching-Jui Lai, Anticanonical Volume of Singular Fano Threefolds
B236-1 IBS, Korea, Republic ofSpeaker Ching-Jui Lai National Cheung Kung University The set of canonical Fano threefolds form a bounded family by results of Kawamata, Mori-Miyaoka-Kollar-Tagaki, and in a much more general …