Primes in arithmetic progressions to smooth moduli

Add to your list(s) Download to your calendar using vCal

• Julia Stadlmann (Oxford)
• Tuesday 13 February 2024, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Jef Laga.

The twin prime conjecture asserts that there are infinitely many primes p for which p+2 is also prime. This conjecture appears far out of reach of current mathematical techniques. However, in 2013 Zhang achieved a breakthrough, showing that there exists some positive integer h for which p and p+h are both prime infinitely often. Equidistribution estimates for primes in arithmetic progressions to smooth moduli were a key ingredient of his work. In this talk, I will sketch what role these estimates play in proofs of bounded gaps between primes. I will also show how a refinement of the q-van der Corput method can be used to improve on equidistribution estimates of the Polymath project for primes in APs to smooth moduli.

This talk is part of the Number Theory Seminar series.

This talk is included in these lists:

• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• MR13
• Number Theory Seminar
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.