복소기하학연구단
Speaker Kyeong-Dong Park Gyeongsang National University The aim of this seminar is to provide participants with a comprehensive understanding of the paper "K-stability of Fano spherical varieties" by Thibaut Delcroix. For a reductive algebraic group G, a normal G-variety is called spherical if it contains an open B-orbit, where B is a fixed …
Speaker Kyeong-Dong Park Gyeongsang National University The aim of this seminar is to provide participants with a comprehensive understanding of the paper "K-stability of Fano spherical varieties" by Thibaut Delcroix. For a reductive algebraic group G, a normal G-variety is called spherical if it contains an open B-orbit, where B is a fixed …
Speakers Taeyong Ahn (Inha University) Ye-Won Luke Cho (Pusan National University) Young-Jun Choi (Pusan National University) Pham Hoang Hiep (Vietnam Academy of Science and Technology) Dinh Tuan Huynh (Hue University of Education-Hue University) Łukasz Kosiński (Jagiellonian University) Kang-Hyurk Lee (Gyeongsang National University) Man-Chun Lee (The Chinese University of Hong Kong) Hoseob Seo (Institute for Basic …
Speaker Takayuki Koike (Osaka Metropolitan University) In this talk, we explain our results on some variants of Ueda's lemma on L∞-estimates for Cech coboundary operators that hold uniformly for all flat holomorphic line bundles on compact Kähler manifolds. This talk is partially based on joint work with Y. Hashimoto and T. Uehara.Title : …
Speaker George Hitching Oslo Metropolitan University Let C be a smooth projective curve of genus g. The symplectic Brill-Noether locus S(k, 2n, K) parametrises stable bundles of rank 2n over C with at least k independent sections, and which admit a nondegenerate skewsymmetric bilinear form with values in the canonical bundle K. This …
Speaker Thomas Peternell University of Bayreuth Given a projective complex manifold M with an ample polarization there is canonically associated an affine bundle Z over M. The question I will discuss is under which circumstances Z is an affine variety, or at least Stein. This is related to the global structure of M, …
Speaker Yum-Tong Siu Harvard University For sums of squares of real vector fields, Hörmander linked subelliptic estimates to the spanning property of iterated Lie brackets of vector fields. Kohn studied the more complicated analogue of subelliptic ∂ estimates for weakly pseudoconvex domains, with vector-valued unknowns. In the weak-solution approach to solving the ∂ …
Speaker Fabrizio Catanese University of Bayreuth We consider the geometric map C, called Cayleyan, associating to a plane cubic E the adjoint of its dual curve. We show that C and the classical Hessian map H generate a free semigroup. We begin the investigation of the geometry and dynamics of these maps, and …
Speaker Seung uk Jang Université de Rennes 1 We discuss the algebraic dynamics on Markov cubics generated by Vieta involutions, in the tropicalized setting, including some introduction to the tropicalization. It turns out that there is an invariant subset of the tropicalized Markov cubic where the action by Vieta involutions can be modeled …
Speaker Yaoxiong Wen KIAS During this presentation, I will discuss the generalized quiver mutation conjecture proposed by Prof. Ruan. Our focus will be on proving this conjecture for the Grassmannian bundle. Additionally, we will explore the determinantal variety and its two different desingularizations, known as PAX/PAXY models. We will demonstrate the relationship between …
Speaker Guolei Zhong IBS-CCG In this talk, we discuss the structure of projective varieties with certain positive tangent sheaves. More precisely, when the tangent sheaf is almost nef or positively curved, we construct a well-defined MRC fibration and study the Fujita decomposition of reflexive sheaves. Besides, we show that the almost nefness of …
Speaker Gil Bor CIMAT Place a point light source inside a smooth convex billiard table (or mirror). The n-th caustic by reflection is the envelope of light rays after n reflections. Theorem: each of these caustics, for a generic point light source, has at least 4 cusps. Conjecture: there are exactly 4 cusps …