Abstract. Pointwise ergodic theorems provide a bridge between the global behaviour of the dynamical system and the local combinatorial statistics of the system at a point. These theorems are powerful tools used in ergodic theory, probability, number theory, and other areas of mathematics. I will describe a new general yet elementary approach for proving such theorems, which is inspired by descriptive set theory. This approach has led to new kinds of pointwise ergodic theorems, and I will discuss those obtained in joint work with Jenna Zomback.
Location: Hamilton Hall, Room 305
Refreshments will be available in the Hamilton Hall Lounge at 3:00 pm. Everyone is welcome.