복소기하학연구단
Speaker Sung-Yeon Kim IBS CCG Let G be a complex semisimple Lie group, P be a parabolic subgroup and G0 be a real form of G. Then the flag manifold G/P decomposes into finitely many G0-orbits. The complex structure of G/P yields a natural homogeneous CR manifold structure on the real orbits such …
Speaker Sung-Yeon Kim IBS CCG In this talk, we study the rigidity of proper holomorphic maps f: Ω→Ω' between irreducible bounded symmetric domains Ω and Ω'. First, we will define the moduli maps induced by f. This moduli maps are CR maps between real orbits in flag maniflods. If the rank difference is …
Speaker Ngoc Cuong Nguyen KAIST We survey recent developments on the speed of convergence of Fekete points on projective manifolds where the equidistribution was proved by Berman and Boucksom (2011). In particular, the convergence speed can be obtained for a large class of polynomially cuspidal compact sets introduced by Pawłucki and Pleśniak (1988). …
Speaker Lorenzo Barban IBS CCG In this lecture series we aim to describe the rich relation between C*-actions on complex normal projetive varieties and the birational maps among the associated geometric quotients. We will begin this first seminar by explaining a motivating example, called the Atiyah flop. We will then discuss general results …
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 …
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 …