# Kristian Seip: Analysis on polydiscs

Kristian Seip, Norwegian University of Science and Technology, Trondheim

**Time: ** Wed 2013-11-27 14.15 - 16.15

**Location: ** Oskar Klein auditorium, Albanova

## Schedule

14:15-15:00: Precolloquium for PhD and master students by Aron Wennman

15:15-16:15: Colloquium lecture by Kristian Seip

16:15-17:00: Coffee and SMC social get-together.

## Abstract (Colloquium)

Rudin's classic treatise "Function Theory in Polydiscs" (1969) studies complex analysis on polydiscs starting from the following question: How much of our extremely detailed knowledge about holomorphic functions in the unit disc can be carried over to an analogous situation in several variables, namely to polydiscs? A different perspective comes from the work of H. Bohr and Bohnenblust--Hille several decades earlier; here the main issue is function theory in the infinite-dimensional polydisc or, more precisely, estimates in finite-dimensional polydiscs that are independent of the dimension. I will discuss some examples, old and new, of what