The large sieve

Abstract: In this talk, we will prove a version of the large sieve inequality, a result from analytic number theory that will eventually be used to give bounds on thin sets. Along the way, we will prove the Davenport-Halberstam theorem and generally try to understand how the support of a function's Fourier transform influences the function's behavior.

algebraic geometrynumber theory

Audience: advanced learners

Comments: Reference: Chapter 12 of Serre, Lectures on the Mordell-Weil theorem. Wearing a mask is welcomed, but optional.

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STAGE

Series comments: STAGE (Seminar on Topics in Arithmetic, Geometry, Etc.) is a learning seminar in algebraic geometry and number theory, featuring speakers talking about work that is not their own. Talks will be at a level suitable for graduate students. Everyone is welcome.

Fall 2025 topic: Weil conjectures.

Some topics might take more or less time than allotted. If a speaker runs out of time on a certain date, that speaker might be allowed to borrow some time on the next date. So the topics below might not line up exactly with the dates below.

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