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VERSION:2.0
PRODID:-//Memento EPFL//
BEGIN:VEVENT
SUMMARY:Products of primes in arithmetic progressions
DTSTART:20221123T141500
DTEND:20221123T160000
DTSTAMP:20261002T033455Z
UID:4f93c28861d816aa9a580deb21d7c05f62f00b1e50c642d43b2c093c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Kaisa Matomaki (University of Turku)\nErdös conjectured that\
 , when $q$ is a sufficiently large prime\, every residue class $\\pmod{q}$
  can be represented as a product of two primes $p_1p_2$ with $p_1\, p_2 \\
 leq q$. This can be seen as a multiplicative analogue of the Goldbach conj
 ecture claiming that every even integer greater than two can be written as
  a sum of two primes.\nI will discuss my on-going work with Joni Teräväi
 nen establishing among other things a ternary variant of Erdös' conjectur
 e that\, for every sufficiently large cube-free $q$\, every reduced residu
 e class $\\pmod{q}$ can be represented as a product of three primes $p_1 p
 _2 p_3$ with $p_1\, p_2\, p_3 \\leq q$. This improves on very recent works
  of Szabo and Zhao showing that one has such presentations with products o
 f six primes.\nIn the first part of the talk I will give a general overvie
 w of the topic as well as discuss some very fundamental ideas in the proof
 \, in particular why the problem is more difficult than the ternary Goldba
 ch problem and how we overcome this difficulty. In the second part of the 
 talk I will give a more detailled description of the proof ideas.
LOCATION:GR A3 31 https://plan.epfl.ch/?room==GR%20A3%2031
STATUS:CONFIRMED
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