Tomasz Weiss: Accessible points, harmonic measure and the Riemann mapping

Seminar: Working group in applications of set theory, IMPAN

Thursday, 17.01.2019, 10:15, room 105, IMPAN

Speaker: Tomasz Weiss (UKSW)

Title: “Accessible points, harmonic measure and the Riemann mapping”

Abstact: “Let D be a bounded domain in R_n, n larger than 1. We provide an elementary proof that the set of all boundary accessible points of D is an analytic set. We investigate the nature of the set of accessible points of D when n=2 using only set theoretical methods. We provide also a view of the relation between harmonic measure in D, if n=2, D simply connected, and the Riemann mapping of D. In this talk we prove new results and give easier proofs of known results”.

Visit our seminar page which may include information on some future talks at https://www.impan.pl/~set_theory/Seminar/

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