Abstract. The theorem states that there is no biholomorphic map between polydisc and ball in $\mathbb C^n$, if $n>1$. This result was discovered by Poincaré in 1907. His original proof is based on a computation and comparison of groups of holomorphic automorphisms of ball and bidisc which fix the origin. Another approach in proving the theorem is more direct and elementary. It shows that it's impossible to find a higher dimensional analog of Riemann's theorem which involves only topological conditions.
The biholomorphic inequivalence of the ball and the polydisc
02.05.2017 11:30 - 13:00
Location:
Seminar room 8, 2nd floor, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria