Seung uk Jang, Vieta Involutions on Tropical Markov Cubics

B236-1 IBS, Korea, Republic of

    Speaker Seung uk Jang Université de Rennes 1 We discuss the algebraic dynamics on Markov cubics generated by Vieta involutions, in the tropicalized setting, including some introduction to the tropicalization. It turns out that there is an invariant subset of the tropicalized Markov cubic where the action by Vieta involutions can be modeled

Guolei Zhong, Positivity of Tangent Sheaf of Projective Varieties

B236-1 IBS, Korea, Republic of

    Speaker Guolei Zhong IBS-CCG In this talk, we discuss the structure of projective varieties with certain positive tangent sheaves. More precisely, when the tangent sheaf is almost nef or positively curved, we construct a well-defined MRC fibration and study the Fujita decomposition of reflexive sheaves. Besides, we show that the almost nefness of

Yotsutani Naoto, Chow Stability and Non-symmetric Kähler-Einstein Toric Fano Manifolds

B266 IBS, Korea, Republic of

    Speaker Yotsutani Naoto Kagawa University In 2001, Donaldson proved that if a polarized manifold (X, L) admits constant scalar curvature Kähler metrics in c1(L), then (X, L) is asymptotically Chow stable whenever its automorphism group Aut(X, L) is discrete. In this talk, we show that this result does not hold in the case

Andreas Höring, Projective Manifolds with Pseudoeffective (Co)tangent Bundle, I, II

B236-1 IBS, Korea, Republic of

    Speaker Andreas Höring University of Nice Symmetric holomorphic forms on projective manifolds have been studied from various angles in the last ten years : Brotbek-Darondeau and independently Song-Yan Xie have shown that complete intersections of sufficiently high degree and codimension have an ample cotangent bundle, so many symmetric forms. Vice versa Campana and

Andreas Höring, Projective Manifolds with Pseudoeffective (Co)tangent Bundle, III, IV

B236-1 IBS, Korea, Republic of

    Speaker Andreas Höring University of Nice Symmetric holomorphic forms on projective manifolds have been studied from various angles in the last ten years : Brotbek-Darondeau and independently Song-Yan Xie have shown that complete intersections of sufficiently high degree and codimension have an ample cotangent bundle, so many symmetric forms. Vice versa Campana and

Grzegorz Kapustka, Projective Models of Nikulin Orbifolds

B236-1 IBS, Korea, Republic of

    Speaker Grzegorz Kapustka Jagiellonian University We describe a locally complete family of projective irreducible holomorphic symplectic orbifolds as double covers of special complete intersections (3, 4) in P6. This is a joint work with C. Camere, A. Garbagnati and M. Kapustka.

Caucher Birkar, Stable Minimal Models

on-line

Zoom ID: 880 6763 5837 PW: 312515     Speaker Caucher Birkar Tsinghua University In this talk I will introduce stable minimal models and discuss some related results and if times allows, problems. (This seminar is a part of School and Workshop on Moduli, K-trivial Varieties, and Related Topics)

Gebhard Martin, Automorphisms of del Pezzo Surfaces I

B236-1 IBS, Korea, Republic of

    Speaker Gebhard Martin Universität Bonn Motivated by the classification of finite subgroups of the Cremona group of the plane, I will survey old and new results on automorphism groups of del Pezzo surfaces. In particular, I will report on joint work with Igor Dolgachev on the classification of automorphism groups of smooth del

Claudia Stadlmayr, Which Rational Double Points Occur on del Pezzo Surfaces?

B236-1 IBS, Korea, Republic of

    Speaker Claudia Stadlmayr Technische Universität München Canonical surface singularities, also called rational double points (RDPs), can be classified according to their dual resolution graphs, which are Dynkin diagrams of types A, D, and E. Whereas in characteristic different from 2, 3, and 5, rational double points are "taut", that is, they are uniquely

Gebhard Martin, Automorphisms of del Pezzo Surfaces II

B236-1 IBS, Korea, Republic of

    Speaker Gebhard Martin Universität Bonn Motivated by the classification of finite subgroups of the Cremona group of the plane, I will survey old and new results on automorphism groups of del Pezzo surfaces. In particular, I will report on joint work with Igor Dolgachev on the classification of automorphism groups of smooth del

Gebhard Martin, Automorphisms of del Pezzo Surfaces III

B236-1 IBS, Korea, Republic of

    Speaker Gebhard Martin Universität Bonn Motivated by the classification of finite subgroups of the Cremona group of the plane, I will survey old and new results on automorphism groups of del Pezzo surfaces. In particular, I will report on joint work with Igor Dolgachev on the classification of automorphism groups of smooth del

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)

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