Slawomir Dinew, Extension Through Small Sets in Complex Analysis

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     Speaker Slawomir Dinew Jagiellonian University, Krakow Extension problems through a small singular set appear throughout complex analysis. After a short reminder of some classical results we shall focus on problems of extending (pluri)subharmonic functions. In particular we shall focus on new techniques coming from PDEs that lead to resolutions of several questions in

Tsz On Mario Chan, Analytic Adjoint Ideal Sheaves via Residue Functions

B266 IBS

     Speaker Tsz On Mario Chan Pusan National University In this talk, we introduce a modification of the analytic adjoint ideal sheaves. The original analytic adjoint ideal sheaves were studied by Guenancia and Dano Kim. The modified version makes use of the residue functions with respect to log-canonical (lc) measures, giving a sequence of

Ngoc-Son Duong, Proper Holomorphic Maps from the Complex 2-ball into the 3-dimensional Classical Domain of Type IV

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     Speaker Ngoc-Son Duong University of Vienna In this talk, we will discuss a complete classification of proper holomorphic maps from the unit ball in complex two dimensional space into the Cartan's classical domain of type IV in complex three dimensional space that extend smoothly to some boundary point. This classification (which is a

Hoang-Chinh Lu, Monge-Ampère Volumes on Compact Hermitian Manifolds

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     Speaker Hoang-Chinh Lu Université Paris-Saclay, Orsay We investigate in depth the behaviour of Monge-Ampère volumes of quasi-psh functions on a given compact hermitian manifold. We prove that the property for these Monge-Ampère volumes to stay bounded away from zero or infinity is a bimeromorphic invariant. We show in particular that a conjecture of

Brendan Hassett, Recent Progress and Questions on Stable Rationality

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     Speaker Brendan Hassett ICERM / Brown Univ. A complex variety X is rational if its field of meromorphic functions is isomorphic to C(t1, ..., td), the function field of projective space Pd. It is stably rational if X × Pm is rational for some m. Topological and complex invariants give criteria for whether

Lukasz Kosinski, Extension Property and Interpolation Problems

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     Speaker Lukasz Kosinski Jagiellonian University A subset V of a domain Ω has the extension property if for every holomorphic function p on V there is a bounded holomorphic function φ on Ω that agrees with p on V and whose sup-norm on Ω equals the sup-norm of p on V. Within the talk, we

Xu Wang, An Explicit Estimate of the Bergman Kernel for Positive Line Bundles

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     Speaker Xu Wang NTNU - Norwegian University of Science and Technology We shall give an explicit estimate of the lower bound of the Bergman kernel associated to a positive line bundle. In the compact Riemann surface case, our result can be seen as an explicit version of Tian’s partial C0-estimate.

Sheng Meng, Equivariant Kähler Model for Fujiki’s Class

B266 IBS

     Speaker Sheng Meng KIAS Let X be a compact complex manifold in Fujiki's class C, i.e., admitting a big (1,1)-class . Consider Aut(X) the group of biholomorphic automorphisms and Aut(X) the subgroup of automorphisms preserving the class via pullback. We show that X admits an Aut(X)-equivariant Kähler model: there is a bimeromorphic holomorphic

Sung Rak Choi, On the Thresholds of Potential Pairs

B266 IBS

     Speaker Sung Rak Choi Yonsei Univ. Choi-Park first introduced and develped the notion of potential pairs. The notion was designed to control the singularities of the outcome of the 'anticanonical' minimal model program. In this talk, after reviewing the properties of potnetial klt pairs, we examine the ACC property of the potential lc

Ming Xiao, On Some Mapping Problems between Bounded Symmetric Domains

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     Speaker Ming Xiao UCSD Bounded symmetric domains are an important class of geometric objects in complex analysis and geometry, which possess a high degree of symmetry. They often serve as the model cases in the study of many rigidity phenomena. In this talk, we will discuss two mapping problems between bounded symmetric domains

Luca Rizzi, Local Systems, Algebraic Foliations and Fibrations

TBA

     Speaker Luca Rizzi IBS-CCG Given a semistable fibration f : X → B I will show a correspondence between foliations on X and local systems on B. Building up on this correspondence we will find conditions that give maximal rationally connected fibrations in terms of data on the foliation. We will develop the

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