A Stong-Hattori spectral sequence

Extensions of Umbral Calculus Ii: Double Delta Operators, Leibniz Extensions and Hattori-stong Theorems

We continue our programme of extending the Roman-Rota umbral calculus to the setting of delta operators over a graded ring E∗ with a view to applications in algebraic topology and the theory of formal group laws. We concentrate on the situation where E∗ is free of additive torsion, in which context the central issues are number-theoretic questions of divisibility. We study polynomial algebras w...

On the Cohomology of Some Hopf Algebroids and Hattori-stong Theorems

We apply group cohomological methods to calculate the cohomol-ogy of K(n) BP as a K(n) K(n)-comodule, recovering recent results of Hovey and Sadofsky. As applications we determine the Chromatic Spectral Sequence for BP based on Johnson and Wilson's E(n), showing the relationship to some generalizations of the classical Hattori-Stong Theorem and determine the change of Hopf algebroid spectral se...

Speaker 2: Kotaro Hattori, Japan

A spectral sequence for splines

We de ne a complex R=J of graded modules on a d-dimensional simplicial complex , so that the top homology module of this complex consists of piecewise polynomial functions (splines) of smoothness r on the cone of . In a series of papers ([4], [5], [6]), Billera and Rose used a similar approach to study the dimension of the spaces of splines on , but with a complex substantially di erent fromR=J...

Spectral sequence compensation based on continuity of spectral sequence

Humans have an excellent ability to select a particular sound source from a noisy environment, called the \Cocktail-Party E ect" and to compensate for physically missing sound, called the \Illusion of Continuity." This paper proposes a spectral peak tracker as a model of the illusion of continuity (or phonemic restoration) and a spectral sequence prediction method using a spectral peak tracker....