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Quantitative results about norms in abelian extensions

Date: Thursday, November 21, 2019 11:30 - 12:30
Speaker: Christopher Frei (University of Manchaster, UK)
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Timothy Browning

Abstract:

We will discuss ways of counting G-extensions of a given number field, where G is an abelian group. This is applied to obtain quantitative results about extensions that satisfy the Hasse norm principle, and about extensions realising given elements of the base field as norms. The discussed results are joint work with Dan Loughran and Rachel Newton, and with Rodolphe Richard.
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