Bousfield Classes and Ohkawa's Theorem : Nagoya, Japan, August 28-30, 2015. 1st ed. 2020

種類:

電子ブック

責任表示:

edited by Takeo Ohsawa, Norihiko Minami

出版情報:

Singapore : Springer Nature Singapore : Imprint: Springer, 2020

著者名:

• Ohsawa, Takeo.
• Minami, Norihiko.
• SpringerLink (Online service)

シリーズ名:

Springer Proceedings in Mathematics & Statistics ; 309

ISBN:

9789811515880 [9811515883]    

注記:

A.K. Bousfield, Foreword -- Takao Matumoto, Memories on Ohkawa’s mathematical life in Hiroshima -- Carles Casacuberta, Depth and simplicity of Ohkawa’s argument -- Shane Kelly, Some observations about motivic tensor triangulated geometry over a finite field -- Ruth Joachimi, Thick ideals in equivariant and motivic stable homotopy categories -- Takeo Ohsawa, Role of the L2 Method in the study of analytic Families -- Carles Casacuberta and Jiri Rosicky, Combinatorial homotopy categories -- Mark Behrens and Charles Rezk, Spectral algebra models of unstable vn-periodic homotopy theory -- Takeshi Torii, On quasi-categories of comodules and Landweber exactness -- Takuo Matsuoka, Koszul duality for En-algebras in a filtered category -- Takuo Matsuoka, Some technical aspects of factorization algebras on manifolds -- Ryo Kato, Hiroki Okajima and Katsumi Shimomura, Notes on an alegebraic stable homotopy category -- Jack Morava, Operations on integral lifts of K(n) -- Tobias Barthel, A short introduction to the telescop
This volume originated in the workshop held at Nagoya University, August 28–30, 2015, focusing on the surprising and mysterious Ohkawa's theorem: the Bousfield classes in the stable homotopy category SH form a set. An inspiring, extensive mathematical story can be narrated starting with Ohkawa's theorem, evolving naturally with a chain of motivational questions: Ohkawa's theorem states that the Bousfield classes of the stable homotopy category SH surprisingly forms a set, which is still very mysterious. Are there any toy models where analogous Bousfield classes form a set with a clear meaning? The fundamental theorem of Hopkins, Neeman, Thomason, and others states that the analogue of the Bousfield classes in the derived category of quasi-coherent sheaves Dqc(X) form a set with a clear algebro-geometric description. However, Hopkins was actually motivated not by Ohkawa's theorem but by his own theorem with Smith in the triangulated subcategory SHc, consisting of compact objects in SH. Now the following questi

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