Description

Algebra and Number Theory Seminar

Thursday, 22 February 2024, 4:00 pm

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Venue: Ramanujan hall

Host: Sandip Singh

Speaker: Sumit Chandra Mishra

Affiliation: IISER Mohali

Title: Local-global principles for norms and products of norms over semi-global fields

Abstract: A well-known result of Hasse states that the local-global principle holds for norms over number fields for cyclic extensions. In other words, if L/F is a cyclic extension of number fields then an element \lambda \in F^{\times} is in the image of norm map N_{L/F}: L^{\times} \rightarrow F^{\times} if and only if \lambda is in the image of the norm map locally everywhere, i.e., for completions associated to all archimedean and non-archimedean places of F. In this talk, we would discuss local-global principles for norms and product of norms over fields which are function fields of curves over complete discretely valued fields, for example, \mathbb{C}((t))(x).

Description

Ramanujan Hall, Department of Mathematics

Date

Thu, February 22, 2024

Start Time

4:00pm IST

Priority

5-Medium

Access

Public

Created by

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Updated

Mon, February 19, 2024 1:46pm IST