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Amalendu Krishna (Indian Institute of Science)
Friday 24 June 2022, 09:45-10:45
Tame class field theory over local fields
â ī¸ Important: KA2W02 - Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights
- đ¤ Speaker: Amalendu Krishna (Indian Institute of Science)
- đ Date & Time: Friday 24 June 2022, 09:45 - 10:45
- đ Venue: Seminar Room 1, Newton Institute
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Abstract
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.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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