Titlebook: Building Bridges Between Algebra and Topology; Wojciech Chachólski,Tobias Dyckerhoff,Greg Stevens Textbook 2018 Springer International Pub

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A Tour of Support Theory for Triangulated Categories Through Tensor Triangular Geometry,sor triangular geometry. One main aim is to introduce the material necessary to state and prove the local-to-global principle. In particular, we discuss Balmer’s construction of the spectrum, generalised Rickard idempotents and support for compactly generated triangulated categories, and actions of

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Homotopy Invariant Commutative Algebra over Fields,TATCA) at the Centre de Recerca Matemàtica (Barcelona) in Spring 2015. They give some basic homotopy invariant definitions in commutative algebra and illustrate their interest by giving a number of examples.

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Idempotent Symmetries in Algebra and Topology,commuting with telescopes by Devintaz–Hopkins–Smith [7, 12], were a culmination of a few decades of progress achieved in stable homotopy theory. The simplicity of this classification is remarkable. For each prime ., the category of restrictions of these functors to .-local finite spectra is isomorph

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