Dennis The, On 4D Split-conformal Structures with G2-symmetric Twistor Distribution

B266 IBS, Korea, Republic of

    Speaker Dennis The The Artic University of Norway, Tromso In their 2013 article, An & Nurowski considered two surfaces rolling on each other without twisting or slipping, and defined a twistor distribution (on the space of all real totally null self-dual 2-planes) for the associated 4D split-signature conformal structure. If this split-conformal structure

Yong Hu, Noether Inequality for Irregular Threefolds of General Type

B236-1 IBS, Korea, Republic of

    Speaker Yong Hu Shanghai Jiao Tong University Let X be a smooth irregular 3-fold of general type. In this talk, we will prove that the optimal Noether inequality vol(X) ≥ (4/3) pg(X) holds if pg(X) ≥ 16 or if X has a Gorenstein minimal model. Moreover, when X attains the equality and pg(X)

Workshop on Geometry of Homogeneous Varieties

B109 IBS, Korea, Republic of

Speakers 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 Pasquier (U. Poitiers) Léa Villeneuve (U. Poitiers) Abstracts PDF file Schedule April 15 (Monday) 10:00-11:00 Brion 11:20-12:20 Brion 12:30-13:20 Lunch 15:00-16:00 Kwon 16:20-17:40 Li April

In-Kyun Kim, Wall-crossing of K-moduli Spaces of Weighted Projective Spaces

B236-1 IBS, Korea, Republic of

    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

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

Shigeyuki Kondo, A Review on Enriques Surfaces: Moduli, Automorphism Groups and Positive Characteristics, I

B236-1 IBS, Korea, Republic of

    Speaker 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 the moduli space and the automorphism groups of Enriques surfaces over the complex numbers. In the later half, I shall mention a recent progress in

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