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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Computations in equivariant algebraic topology
等变 代数拓扑 计算
2023/5/17
Modern algebraic topology sees equivariance arising in unexpected context. Equivariant cohomology carries rich structures but is much harder to compute. In 2009, Hill, Hopkins, and Ravenel solved the ...
On the topology of semi-algebraic functions on closed semi-algebraic sets
topology of semi-algebraic functions closed semi-algebraic sets
2011/1/20
We consider a closed semi-algebraic set X Rn and a C2 semi-algebraic function f : Rn ! R such that f|X has a finite number of critical points. We relate the topology of X to the topology of the sets...
Green functions, the fine topology and restoring coverings
Harmonic measure Jensen measures Subharmonic functions
2011/2/22
There are several equivalent ways to define continuous harmonic functions H(K) on a compact set K in Rn. One may let H(K) be the unform closures of all functions in C(K) which are restrictions of harm...
Multipole analysis in cosmic topology
Cosmic microwave background cosmology harmonic analysis topology, homotopy
2010/12/16
Low multipole amplitudes in the Cosmic Microwave Background CMB radiation can be explained by selection rules from the underlying multiply-connected homotopy. We apply a multipole analysis to the harm...
A covariant functor from fibrations over the circle to a family of AF-algebras is constructed; the functor takes continuous maps be-tween such fibrations to stable homomorphisms of the AF-algebras.We ...