Mathematics colloquium, February 11:th: Arkadiusz Lewandowski

[Aron Lagerberg]

Speaker: Arkadiusz Lewandowski (Jagiellonian University, Institute of
Mathematics.)

Date and time: Monday, February 11:th, 15.00

Place: VRII, room 157

Title: On separately holomorphic functions on crosses

Abstract:
The famous Hartogs theorem states that every separately holomorphic
function on a domain in C^n is automatically holomorphic as a function
of all complex variables. This over one hundred years old flagship result
of complex analysis has been generalized in many diff erent ways. One of
them leads to the theory of extension of separately holomorphic functions
defined on the so-called crosses. We shall present some classical topics in
this area as well as the newest results concerning the generalized (N; k)-
crosses, the A-crosses, as well as the extensions with singularities.