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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the subadditivity of generalized Kodaira dimensions (Part II)
广义 小平维度 次相加性 代数纤维空间
2023/5/4
In these series of talks, we will focus on the study of the Iitaka conjecture, which predicts the subadditivity of Kodaira dimensions for any algebraic fiber space. In the first part, we recall some b...
Toric integrable geodesic flows in odd dimensions
Toric integrable geodesic odd dimensions
2011/1/18
Let Q be a compact, connected n-dimensional Riemannian manifold, and assume that the geodesic flow is toric integrable. If n 6= 3 is odd, or if 1(Q) is infinite, we show that the cosphere bundle of Q...
On Bredon (Co-)Homological Dimensions of Groups
Bredon (Co-)Homological Dimensions Groups
2010/12/10
The objects of interest in this thesis are classifying spaces EFG for discrete groups G with stabilisers in a given family F of subgroups of G. The main focus of this thesis lies in the family Fvc(G) ...
We study some properties of a class of random connected planar fractal sets induced by a
Poissonian scale-invariant and translation-invariant point process. Using the second-moment
method, we show t...
Issues of Chaos and Recurrence in Infinite Dimensions
Infinite Dimensions bounded spatial domains phase spaces
2010/4/7
Various issues with regard to chaos and recurrence in infinite dimensions are discussed. The doctrine we are trying to derive is that Sobolev spaces over bounded spatial domains do host chaos and recu...