Abstract: A famous theorem of Szemeredi from 1975 states that
any subset of positive density in the integers contains arbitrarily
long arithmetic progressions. In 1977 Furstenberg gave an ergodic
theoretic proof of Szemeredi’s theorem. Furstenberg...
Abstract: This series will invite participants into the
beautiful world of the circle method. This method, which combines
both arithmetic and analytic insights, originated 100 years ago in
work of Hardy and Ramanujan, in their study of the partition...
