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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces
Calabi-Yau fiber spaces 莫里森-川俣 锥猜想
2023/5/9
In this talk, I will explain the relationship between the Morrison-Kawamata cone conjecture for Calabi-Yau fiber spaces and the existence of Shokurov polytopes. For K3 fibrations, this enables us to e...
Higher connectivity of fiber graphs of Grobner bases
Higher connectivity fiber graphs Grobner bases
2012/11/23
Fiber graphs of Gr\"obner bases from contingency tables are important in statistical hypothesis testing, where one studies random walks on these graphs using the Metropolis-Hastings algorithm. The con...
Generalized blow-up of corners and fiber products
Generalized blow-up corners and fiber products Geometric Topology
2011/9/13
Abstract: Radial blow-up, including inhomogeneous versions, of boundary faces of a manifold (always with corners) is an important tool for resolving singularities, degeneracies and competing notions o...
Constructing a broken Lefschetz fibration of S^4 with a spun or twist-spun torus knot fiber
broken Lefschetz fibration twist-spun torus knot fiber Algebraic Topology
2011/8/31
Abstract: Much work has been done on the existence and uniqueness of broken Lefschetz fibrations such as those by Auroux et al., Gay and Kirby, Lekili, Akbulut and Karakurt, Baykur, and Williams, but ...
Soliton blue-shift in tapered photonic crystal fiber
Soliton blue-shift tapered photonic crystal fiber
2010/12/28
We show that solitons undergo a strong blue shift in fibers with a dispersion landscape that varies along the direction of propagation. The experiments are based on a small-core photonic crystal fiber...
We obtain analogues of classical results on automorphism groups of holomorphic fiber bundles, in the setting of group schemes. Also, we establish a lifting property of the connected automorphism group...
On combinatorial invariance of the cohomology of Milnor fiber of arrangements and Catalan equation over function field
Milnor fiber arrangements Catalan equation function field
2010/11/8
We show that for arrangements of lines with points of multiplicity at most three, the cohomology of Milnor fiber is determined only by the combinatorics of arrangement. The proof depends on enumeratio...
Fiber-wise Calderón-Zygmund decomposition and application to a bi-dimensional paraproduct
Fiber-wise Calderón-Zygmund decomposition bi-dimensional paraproduct
2010/11/22
We are interested in a new kind of bi-dimensional bilinear paraproducts (appearing in [6]), which do not fit into the setting of bilinear Calder\'on-Zygmund operators. In this paper we propose a fiber...
Adaptive Nonparametric Regression on Spin Fiber Bundles
Spin Fiber Bundles Mixed Spin Needlets Adaptive Nonparametric Regression Thresholding Spin Besov Spaces.
2010/12/10
The construction of adaptive nonparametric procedures by means of wavelet thresh-olding techniques is now a classical topic in modern mathematical statistics. In this paper, we extend this framework t...
Relative Microlinearity -Towards the general theory of fiber bundles for Frolicher spaces
general theory of fiber bundles Frolicher spaces
2010/12/3
In our previous papers [Far East Journal of Mathematical Sciences, 35(2009), 211-223] and [International Journal of Pure and Applied Mathematics,60 (2010).
Fiber sums of genus 2 Lefschetz fibrations
Lefschetz fibrations non-trivia l topologica l phenomena
2010/3/1
Using the recent results of Siebert and Tian about the holomorphicity of genus 2 Lefschetz fibrations with irreducible singular fibers, we show that any genus 2 Lefschetz fibration becomes holomorphic...
An Algorithm to Recognise Small Seifert Fiber Spaces
small Seifert fibered space recognition algorithm Heegaard splitting almost normal surface
2010/2/26
The homeomorphism problem is, given two compact n-manifolds, is there an algorithm to decide if the manifolds are homeomorphic or not. The homeomorphism problem has been solved for many important clas...