Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Secondary Mathematics Subject Classification
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q-de Rham cohomology and Habiro rings 4
We first introduce Wagner’s construction of algebraic Habiro cohomology: a suitable q-Hodge filtration produces a q-Hodge complex that descends to the Habiro ring. Building on Talk 5, we then explain how THH over connective complex K-theory ku supplies such filtrations under appropriate hypotheses, and how equivariant structures give a homotopy-theoretic description of Habiro descent. The number-field case recovers the Habiro rings from Talk 4 and brings the arithmetic and topological perspectives together.
Suggested references
Wagner, q-Hodge complexes over the Habiro ring.
Wagner, q-de Rham cohomology and topological Hochschild homology over ku.
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