Featured Speaker:  Kaisa Matomäki (University of Turku)

Title:  Almost primes in almost all very short intervals

Abstract:  ​By probabilistic models one expects that, as soon as h → ∞ with X → ∞, short intervals of the type (x - h log X, x] contain primes for almost all x ⋲ (X/2, X].  However, this is far from being established.  In the talk I discuss related questions and in particular describe how to prove the above claim when one is satisfied with finding P₂-numbers (numbers that have at most two prime factors) instead of primes.

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