복소기하학연구단
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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 … |
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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 … |
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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 … |
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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 … |
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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. |
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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 …
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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 … |
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