Quadratic forms in 8 prime variables

Ben Green (University of Oxford)

04-Nov-2021, 13:00-14:00 (2 years ago)

Abstract: I will discuss a recent paper of mine, the aim of which is to count the number of prime solutions to Q(p_1,..,p_8) = N, for a fixed quadratic form Q and varying N. The traditional approach to problems of this type, the Hardy-Littlewood circle method, does not quite suffice. The main new idea is to involve the Weil representation of the symplectic groups Sp_8(Z/qZ). I will explain what this is, and what it has to do with the original problem. I hope to make the talk accessible to a fairly general audience.

algebraic geometrynumber theory

Audience: researchers in the topic


Algebraic Geometry and Number Theory seminar - ISTA

Organizers: Tamas Hausel*, Tim Browning*
*contact for this listing

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