Oliver Club

Felipe Gonçalves Univeristät Bonn
The Collatz Conjecture

Tuesday, November 16, 2021 - 4:00pm

Divide by two if you can, otherwise multiply by 3 and add 1. Define in this way an integer map. The notorious Collatz Conjecture, which has been haunting the minds of many mathematicians since the 30’s, states that every orbit of this map eventually hits one. In this talk we will discuss generalisations of this conjecture, their connection with computation theory and recent results which link the problem with a 2-dimensional renewal process and the question of avoiding triangles.