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Oct 12, 2023

Weak approximation on the norm one torus

Algebraic Geometry and Number Theory Seminar

Date: October 12, 2023 | 1:00 pm – 3:00 pm
Speaker: Peter Koymans, ETH Zürich
Location: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Language: English

For any abelian group A, we prove an asymptotic formula for the number of A-extensions K/Q of bounded discriminant such that the associated norm one torus R_{K/Q}^1 G_m satisfies weak approximation. We will discuss how to parametrise abelian extensions in a convenient way so that the problem reduces to the estimation of a certain character sum. We will then estimate this character sum using Siegel–Walfisz and the large sieve. This is joint work with Nick Rome.

More Information:

Date:
October 12, 2023
1:00 pm – 3:00 pm

Speaker:
Peter Koymans, ETH Zürich

Location:
Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA

Language:
English

Contact:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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