Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
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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