#### The dynamics of numbers

###### Ponente(s): Bryna Kra .

###### Paul Erdős wrote almost 1500 papers with hundreds of collaborators: a measure of his
lasting influence is the Erdős number, capturing how many collaborators it takes among
mathematicians to reach Erdős. He was well known for posing problems in combinatorics
and number theory, offering monetary prizes for the solution of many questions. Some of
these conjectures have had great influence in dynamical systems, creating connections
with seemingly unrelated fields. We discuss these connections, highlighting finding hidden
structures in large sets of integers, including the solution to some conjectures of Erdős in
the past year.