Næsta Mathematical Colloquium er með Álfheiður Edda Sigurðardóttir (Háskóli Íslands)
Dags.: Fimmntudaginn 11. desember, kl. 13:00
Staðsetning: 155, VR-II
Titill: Families of Stein manifolds.
Ágrip: We study families of manifolds with a fixed smooth structure but continuously varying complex structures, and ask when classical results in complex analysis hold uniformly across the family. We introduce a notion of tameness and show several equivalent ways to define it. We prove that tameness characterizes when the Oka–Weil approximation theorem behaves continuously with the parameter, as well as global solutions to the Cauchy-Riemann equation. This talk is based on joint work with Franc Forstnerič, and intended for a general audience of mathematicians.