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Morava K-theory and Brown-Peterson cohomology of infinite loop spaces associated to some bounded-below spectra

Le : 19/03/2014 10h30
Par : Takuji KASHIWARABARA (Institut Fourier, GRENOBLE)
Lieu : I001
Lien web :
Résumé : Classically well-known spectra were either (-1)-connected or periodic, with notable exceptions of spectra obtained by Brown-Comenetz duality. Of course, one could desuspend connected spectra to get spectra which are bounded below with non-trivial homotopy groups in negative degrees, but such gradings seemed artificial. However, in recent works surrounding the works of Madsen-Weiss theorem, certain Thom spectra with non-trivial homotopy groups in negative degrees play important roles. In this talk, we study the Morava K-theory and Brown-Peterson cohomology of infinite loop spaces associated with bounded below spectra of finite type whose ordinay homology is concentrated in even degrees. The main tool we will use is the coalgebraic cotensor product.