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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Periodic Phenomena in homotopy theory
同伦理论 周期现象
2023/4/25
Chromatic homotopy theory uses the algebraic geometry of smooth 1-parameter formal groups to separate stable homotopy theory into periodic layers. The 1st layer recovers the image of Adams’ J homomorp...
Brauer-Manin pairing, class field theory and motivic homology
Brauer group abelian fundamental group Wiesend’s ideal class group
2010/12/9
For a smooth proper variety over a p-adic field, the Brauer group and abelian fundamental group are related to the higher Chow groups by the Brauer-Manin pairing and the class field theory. We general...
Bar-cobar duality for operads in stable homotopy theory
Bar-cobar duality stable homotopy theory
2010/12/13
We extend bar-cobar duality, defined for operads of chain complexes by Getzler and Jones, to operads of spectra in the sense of stable homotopy theory. Our main result is the existence
of a Quillen e...
The homotopy theory of function spaces: A survey
Function space monoid of self-equivalence free loop space
2010/11/30
We survey research on the homotopy theory of the space map(X, Y )consisting of all continuous functions between two topological spaces. We summarize progress on various classification problems for the...