복소기하학연구단
Speaker Mihai Paun U. Bayreuth I will present the main results and techniques in the preprint arxiv:2502.02183 (joint with J. Cao). This was motivated by the recent preprint by W. Ou, cf. arXiv:2501.1808 (especially by the algebraicity criteria for foliations on compact Kähler manifolds in this article). The first lecture is dedicated to …
Speaker Mihai Paun U. Bayreuth I will present the main results and techniques in the preprint arxiv:2502.02183 (joint with J. Cao). This was motivated by the recent preprint by W. Ou, cf. arXiv:2501.1808 (especially by the algebraicity criteria for foliations on compact Kähler manifolds in this article). The first lecture is dedicated to …
Speaker Mihai Paun U. Bayreuth I will survey the main results obtained in the articles arXiv:2501.18088 and arXiv:2405.10003. There will be no "serious" proofs, I will nevertheless try to highlight the main ingredients in our arguments.
Speaker Thibaut Delcroix Université de Montpellier In Kähler geometry, especially in the questions of existence of canonical Kähler metrics, the volume form ωn associated with a Kähler form ω plays a central role. In weighted Kähler geometry, we consider a Kähler manifold X equipped with a Hamiltonian action of a torus T, a …
Speaker Jinhyung Park KAIST In 1986, Green-Lazarsfeld raised the gonality conjecture asserting that the gonality gon(C) of a smooth projective curve C of genus g can be read off from weight-one syzygies of a sufficiently positive line bundle L, and also proposed possible least degree of L, that is 2g+gon(C)-1. In 2015, Ein-Lazarsfeld …
Speaker Thibaut Delcroix Université de Montpellier In Kähler geometry, especially in the questions of existence of canonical Kähler metrics, the volume form ωn associated with a Kähler form ω plays a central role. In weighted Kähler geometry, we consider a Kähler manifold X equipped with a Hamiltonian action of a torus T, a …
Speaker Thibaut Delcroix Université de Montpellier In Kähler geometry, especially in the questions of existence of canonical Kähler metrics, the volume form ωn associated with a Kähler form ω plays a central role. In weighted Kähler geometry, we consider a Kähler manifold X equipped with a Hamiltonian action of a torus T, a …
Speaker Thibaut Delcroix Université de Montpellier In Kähler geometry, especially in the questions of existence of canonical Kähler metrics, the volume form ωn associated with a Kähler form ω plays a central role. In weighted Kähler geometry, we consider a Kähler manifold X equipped with a Hamiltonian action of a torus T, a …
Speaker Jie Liu AMSS I'll report joint works with Baohua Fu (AMSS), in which we investigate symplectic singularities arising from the affinization of the cotangent bundle of a smooth variety.
The goal of the workshop is to INTRODUCE some of the most interesting recent developments in complex geometry to (young) people working in areas related to complex geometry. For this purpose, the speakers will try to make the talks understandable to broad audience. Invited Speakers 2-hours lectures Bin Guo (Rutgers U.) Shigeharu Takayama (U. Tokyo) …