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Texas A&M University

Events for 12/13/2018 from all calendars

Colloquium - Irina Bobkova

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Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Irina Bobkova, Institute for Advanced Study

Description: Title: Decomposition and duality in stable homotopy theory
Abstract: Computation of the stable homotopy groups of spheres is a long-standing open problem in algebraic topology. This important problem has deep connections to number theory and derived algebraic geometry. I will explain how chromatic homotopy theory splits this problem into simpler pieces, which can be understood using the theory of formal group laws. I will talk about recent results at the second chromatic level. In particular, I will introduce a self-dual resolution of the sphere at the second chromatic level, which gives rise to a powerful spectral sequence.