Computing Walsh's conformal map onto lemniscatic domains – Olivier Sète (Technische Universität Berlin)

December 13, 2019 @ 2:30 pm – 3:00 pm
Seminar Room 1
Newton Institute

The conformal mapping of multiply connected domains onto lemniscatic domains was introduced by Walsh in 1956. Walsh's map is a direct generalization of the Riemann mapping. Several important quantities, such as the Green's function with pole at infinity of the multiply connected domain, or the logarithmic capacity of its complemet, can be read of the lemniscatic domain and Walsh's map. In this talk, we discuss the computation of this conformal mapping and lemniscatic domain. This is based on joint work with Jörg Liesen and Mohamed Nasser.