An equivariant computation of tmf

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• Foling Zou (Chinese Academy of Sciences)
• Friday 17 January 2025, 10:15-11:15
• Seminar Room 1, Newton Institute.

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EHTW01 - Introductory Workshop for Equivariant Homotopy Theory in Context

I will explain a $C_3$-equivariant computation of the Borelification of $tmf(2)$. We used a relative Adams spectral sequence, with input from the Hopf algebroid structure of the $C_3$-equivariant dual Steenrod algebra. This yields an entirely algebraic computation of the 3-local homotopy groups of $tmf$, the topological modular form spectrum. This is joint work with Jeremy Hahn, Andy Senger, and Adela Zhang.

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

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