Motivic modular forms from equivariant stable homotopy theory

Abstract

In this paper, we produce a cellular motivic spectrum of motivic modular forms over $\mathbb{R}$ and $\C$, answering positively to a conjecture of Dan Isaksen. This spectrum is constructed to have the appropriate cohomology, as a module over the relevant motivic Steenrod algebra. We first produce a $\G$-equivariant version of this spectrum, and then use a machinery to construct a motivic spectrum from an equivariant one. We believe that this machinery will be of independent interest.

41 pages, comments are very welcome, corrected the proof of Lemma 2.1

References in corpus (1)

• On the zero slice of the sphere spectrum

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