복소기하학연구단
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 …
Speaker Gil Bor CIMAT At first sight, the pair of front and back wheel tracks left by a passing bike on a sandy or muddy terrain seems like a random pair of curves. This is not the case. For example, one can usually distinguish between the front and back wheel tracks, and even …
Speakers Gil Bor (CIMAT) Andreas Cap (U. Vienna) Sean Curry (Oklahoma State U.) Mike Eastwood (U. Adelaide) Jaehyun Hong (IBS-CCG) Jun-Muk Hwang (IBS-CCG) Sung Yeon Kim (IBS-CCG) Ilya Kossovskiy (Masaryk U.) Boris Kruglikov (U. Tromso) Omid Makhmali (PAS-CTP) Benjamin McMillan (IBS-CCG) Tohru Morimoto (Nara Women's U.) Igor Zelenko (Texas A&M) Abstracts PDF file Schedule Oct. …
Speaker Yotsutani Naoto Kagawa University In 2001, Donaldson proved that if a polarized manifold (X, L) admits constant scalar curvature Kähler metrics in c1(L), then (X, L) is asymptotically Chow stable whenever its automorphism group Aut(X, L) is discrete. In this talk, we show that this result does not hold in the case …
Speaker Seungjae Lee IBS CCG In this talk, we investigate the L2-Dolbeault cohomology of the symmetric power of cotangent bundles of ball quotients with finite volume, as well as their toroidal compactification. As a result, we establish a version of L2-Hodge decompostion for complex hyperbolic space forms with finite volume, under some mild …
Speaker Andreas Höring University of Nice Symmetric holomorphic forms on projective manifolds have been studied from various angles in the last ten years : Brotbek-Darondeau and independently Song-Yan Xie have shown that complete intersections of sufficiently high degree and codimension have an ample cotangent bundle, so many symmetric forms. Vice versa Campana and …
Speaker Andreas Höring University of Nice Symmetric holomorphic forms on projective manifolds have been studied from various angles in the last ten years : Brotbek-Darondeau and independently Song-Yan Xie have shown that complete intersections of sufficiently high degree and codimension have an ample cotangent bundle, so many symmetric forms. Vice versa Campana and …
Speaker Grzegorz Kapustka Jagiellonian University We describe a locally complete family of projective irreducible holomorphic symplectic orbifolds as double covers of special complete intersections (3, 4) in P6. This is a joint work with C. Camere, A. Garbagnati and M. Kapustka.
Speakers Alberto Calabri (University of Ferrara) Cinzia Casagrande (University of Torino) Flaminio Flamini (University of Rome Tor Vergata) Paola Frediani (University of Pavia) Kangjin Han (DGIST) Zhi Jiang (SCMS, Fudan University) Akihiro Kanemitsu (Saitama University) Grzegorz Kapustka (Jagiellonian University) Michał Kapustka (IM PAN) Seonja Kim (Chungwoon University) Hirokazu Nasu (Tokai University) Wenbo Niu (University of …
Lecture Series Kiumars Kaveh (University of Pittsburgh) Hendrik Süß (University of Jena)* Susan Tolman (University of Illinois at Urbana-Champaign) Research Talks Lara Bossinger (UNAM) Isabelle Charton (University of Haifa) Oliver Clarke (University of Edinburgh) Peter Crooks (Utah State University) Naoki Fujita (Kumamoto University) Yoosik Kim (Pusan National University) Donggun Lee (IBS CCG) Joseph Palmer (University …
Speaker Youngju Kim Konkuk University The collar lemma says that a closed geodesic in a real hyperbolic 2-manifold has an embedded tubular neighborhood whose width only depends on the length of the geodesic. The width of the collar does not depend on the underlying hyperbolic 2-manifold. On the other hand, a totally geodesic …