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Moduli Stack of Spectral Elliptic Curves with Derived Level Structures

  • Speaker: Xuecai Ma (SUSTech)

  • Time: Jan 15, 2024, 21:00-22:00

  • Location: M5024, College of Science Bldg.

Abstract:  For a finite abelian group A, we define a functor from E_∞-rings to spaces by sending an E_∞-ring R to the space of spectral elliptic curves with derived level A-structures over R. We compute the cotangent complex of this functor. Then we use Lurie’s spectral Artin’s  representability theorem to prove that this functor is representable by a spectral Deligne-Mumford stack. 

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