Large gaps between prime divisors

Speaker:

Stephanie Chan

Zugehörigkeit:

University College London

Datum:

Don, 06/06/2019 - 09:00 - 10:00

Location:

MPIM Lecture Hall [2]

Parent event:

Conference on "Enumerative Arithmetic and the Cohen–Lenstra Heuristics", June 3 - 7, 2019 [3]

It is known that the set of prime factors of integers behaves more or less like a Poisson point process. We explain several properties proved in Smith's work regarding prime divisors, in particular that almost all squarefree integers have a certain form of large gap between prime divisors.