Rafael Andrist: On the existence of tame sets
Title: On the existence of tame sets.
Abstract: The complex-Euclidean space of dimension greater than 1 has a very rich group of holomorphic automorphisms, in particular one can find holomorphic automorphisms with prescribed values in finitely many points. However, for infinite discrete sets, the situation is different, as observed by Rosay and Rudin in 1988: On so-called tame sets, it is possible to prescribe (tame) values, but not on so-called wild sets. While the original definition depends on coordinates, we give a coordinate-free description that extends to arbitrary complex manifolds. The talk will focus on the existence of tame sets in other affine-algebraic manifolds with large symmetry groups. Joint work with Riccardo Ugolini.
Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!
Vodji seminarja
Josip Globevnik in Franc Forstnerič