Arbeitsgemeinschaft: Elliptic Cohomology according to Lurie

  • Paul G. Goerss

    Northwestern University, Evanston, USA
  • Jacob Lurie

    Institute for Advanced Study, Princeton, USA
  • Thomas Nikolaus

    Universität Münster, Germany

Abstract

In this collection we give an overview of Jacob Lurie’s construction of elliptic cohomology and Lubin Tate theory. As opposed to the original construction by Goerss–Hopkins–Miller, which uses heavy obstruction theory, Lurie constructs these objects by a moduli problem in spectral algebraic geometry. A major part of this text is devoted to the foundations and background in higher algebra needed to set up this moduli problem (in the case of Lubin Tate theory) and prove that it is representable.

Cite this article

Paul G. Goerss, Jacob Lurie, Thomas Nikolaus, Arbeitsgemeinschaft: Elliptic Cohomology according to Lurie. Oberwolfach Rep. 16 (2019), no. 2, pp. 911–1001

DOI 10.4171/OWR/2019/15