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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Tame class field theory over local fields
Tame class field theory over local fieldsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact nobody. KA2W02 - Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights In this joint work with Rahul Gupta and Jitendra Rathore, we study the tame class field theory of smooth varieties over local fields. We construct a reciprocity homomorphism from the idele class group of a smooth variety $X$ over a local field $k$ to its abelian etale fundamental group. We describe the kernel and image of this reciprocity homomorphism away from the residue characteristic of $k$. This generalizes the unramified class field theory over local fields due to Jannsen-Saito and Forre. This talk is part of the Isaac Newton Institute Seminar Series series. This talk is included in these lists:
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