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
q-de Rham cohomology and Habiro rings
Beginning with the q-de Rham complex of a polynomial algebra, we explain Scholze’s proposed canonical q-deformation and why independence of coordinates is a substantive problem. Specialization at q = 1 and at p-th roots of unity provides a first view of its cohomological meaning. We introduce the prismatic perspective and explain how it resolves coordinate independence in the p-complete setting, distinguishing this from the global theory.
Suggested references
Scholze, Canonical q-deformations in arithmetic geometry.
Bhatt–Scholze, Prisms and prismatic cohomology.
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