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Speaker:

Kevin Destagnol
Affiliation:

MPIM
Date:

Wed, 2017-12-06 16:30 - 17:30
Location:

MPIM Lecture Hall We will present a generalisation of Schinzel's hypothesis and of the Bateman-Horn's conjecture concerning

prime values of a system of polynomials in one variable to the case of a integer form in many variables.

The proof will rely on Birch's circle method and will be achieved in 25% fewer variables than in the classical

Birch setting. We hope to be able to apply our result to derive the Hasse principle and weak approximation

in cases that are not accessible in the classical Birch's setting. This is joint work with Efthymios Sofos.

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