복소기하학연구단
Speaker Lorenzo Barban IBS CCG In this second talk, which is the technical core of the lecture series, we describe several tools to study C*-actions on projective varieties, such as the bandwidth, the AMvsFM Lemma, and the pruning of a variety. With this, we will be able to describe the -birational geometry of …
Speaker Lorenzo Barban IBS CCG Given a birational map ϕ among normal projective varieties, a geometric realization of ϕ is a normal projective C*-variety such that the birational map among geometric quotients parametrizing general orbits coincides with ϕ. Geometric realizations can be thought of as a projective algebraic version of the notion of …
Mihai Paun Visitor (2025.3.26-2025.5.2) from Universität Bayreuth Office: B249
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 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 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 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 Long Li ShanghaiTech University In this talk, we will discuss the recent progress on the zero mass conjecture for plurisubharmoinc functions, raised by Guedj and Rashkovskii. For a local plurisubharmonic function with an isolated singularity at the origin, the conjecture states that the zero Lelong number (at the singularity) implies the zero …