In probability theory, universality is the phenomenon where
random processes converge to a common limit despite microscopic
differences. For instance, the random walk, under mild conditions,
converges to the same Brownian motion seen from afar...
In this talk I will try to motivate the interest and some of the
mystery in the Ramsey numbers R(k), which are fundamental
quantities in combinatorics. I will go on to discuss some recent
progress on our understanding of these numbers and make some...
