Motivic modular forms from equivariant stable homotopy theory

Nicolas Ricka

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arXiv · 1704.04547

Motivic modular forms from equivariant stable homotopy theory

Nicolas Ricka

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Abstract

In this paper, we produce a cellular motivic spectrum of motivic modular forms over $\R$ 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.

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BibTeX RIS

Nicolas Ricka. 2017-04-14. Motivic modular forms from equivariant stable homotopy theory. https://arxiv.org/abs/1704.04547

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