Posted in

Speaker:

Pierre-Yves Bienvenu
Affiliation:

Lyon 1/MPIM
Date:

Wed, 2020-10-14 14:30 - 15:30
Parent event:

Number theory lunch seminar Zoom Online Meeting ID: 919 6497 4060

For password see the email or contact Pieter Moree (moree@mpim...).

The Green-Tao theorem states that the set of primes contain arbitrarily

long arithmetic progressions. It is reasonable to wonder whether the

same holds for certain subsets of the primes, and also whether

arithmetic progressions may be replaced by other linear configurations,

i.e. solutions to systems of linear equations. I will review known

results in that area, and talk about an ongoing work with Joni

Teräväinen and Fernando Shao, where we provide a general criterion for a

set of integers to contain linear configurations, and show that this

criterion applies to certain interesting sets of primes such as Chen

primes or almost twin primes.

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