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SUMMARY:Dimitris Koukoulopoulos
DTSTART:20210505T150000Z
DTEND:20210505T160000Z
DTSTAMP:20260418T064144Z
UID:LNTS/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/37/">An
 atomy of integers\, polynomials and permutations</a>\nby Dimitris Koukoulo
 poulos as part of London number theory seminar\n\n\nAbstract\nThere is a f
 amous analogy between the statistics of the prime factors of a random inte
 ger\, of the irreducible factors of a random polynomial over a finite fiel
 d\, and of the cycles of a random permutation. This analogy allows us to t
 ransfer techniques and intuition from one setup to the other\, and it has 
 been in the center of a lot of recent activity in probabilistic number the
 ory and group theory. I will survey some of this progress\, focusing in pa
 rticular on results about the irreducibility of randomly chosen polynomial
 s with 0\,1 coefficients (joint with Lior Bary-Soroker and Gady Kozma)\, a
 s well as on results about the concentration of divisors of random integer
 s and the size of the Hooley Delta function (joint with Ben Green and Kevi
 n Ford).\n
LOCATION:https://researchseminars.org/talk/LNTS/37/
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