ℂ-Motivic Modular Forms

Authors

Bogdan Gheorghe, Max-Planck-Institut für Mathematik
Daniel C. Isaksen, Wayne State UniversityFollow
Achim Krause, Westfälische Wilhelms-Universität Münster
Nicolas Ricka, IRMA

Document Type

Article

Abstract

We construct a topological model for cellular, 2-complete, stable C-motivic homotopy theory that uses no algebro-geometric foundations.We compute the Steenrod algebra in this context, and we construct a “motivic modular forms” spectrum over ℂ.

Disciplines

Algebraic Geometry | Geometry and Topology

Comments

©2021 European Mathematical Society
Published by EMS Press and licensed under a CC BY 4.0 license

Recommended Citation

Bogdan Gheorghe, Daniel C. Isaksen, Achim Krause, Nicolas Ricka, ℂ-motivic modular forms. J. Eur. Math. Soc. 24 (2022), no. 10, pp. 3597–3628. https://doi.org/10.4171/jems/1171