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Spectral Lie algebras and unstable homotopy theory

Derived algebraic geometry and its applications March 25, 2019 - March 29, 2019

March 25, 2019 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Gijs Heuts (Universiteit Utrecht)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Spectral Lie algebras

  • rational homotopy theory

  • chromatic homotopy theory

Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

In this talk I will review spectral Lie algebras, an adaptation of the theory of Lie algebras to the category of spectra. These generalize differential graded Lie algebras over the rational numbers and admit similar applications in derived algebraic geometry and homotopy theory. As an example of this, I will discuss their role as algebraic models for spaces, generalizing Quillen's rational homotopy theory.

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