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Topological modular forms with level structure

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HHHW03 - Derived algebraic geometry and chromatic homotopy theory

Topological modular forms with level structure are spectra associated with moduli of elliptic curves with extra structure. These come in a huge variety. We will report on progress on the conjecture that all of these spectra split additively into a few simple pieces. Another goal is to obtain an understanding of connective variants of TMF with level structure. We will present some constructions and a conjecture on their associated stacks. This work is partially joined with Viktoriya Ozornova.

This talk is part of the Isaac Newton Institute Seminar Series series.

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