tvinnfallagreining

When: Friday,  November 1, at 11:40 Where: Room 156 in VR-II Speaker: Bergur Snorrason (University of Iceland) Title: The Bernstein-Walsh-Siciak theorem Abstract: An important topic in complex analysis is polynomial approximation. We will look at classic results regarding polynomial approximation, culminating in the Bernstein-Walsh-Siciak theorem, which leverages pluripotential theory to relate analytic continuation to polynomial approximations. […]

When: Friday,  October 25, at 11:40 Where: Room 156 in VR-II Speaker: Bergur Snorrason (University of Iceland) Title: Generalizing Siciak’s product formula Abstract: In pluripotential theory, the Siciak-Zakharyuta extremal functions are well studied. Siciak described how the Siciak-Zakharyuta function associated to a cartesian product relates to the Siciak-Zakharytua functions associated to each of the terms in

Fyrirlesari: Benedikt Steinar Magnússon (Háskóli Íslands) Titill: Liouville’s theorem: variant for graded polynomial rings Staðsetning: 1 desember 2023, kl. 11:40 í stofu 152 í VR-II Ágrip: Liouville’s theorem is a fundamental theorem in complex analysis which states that every bounded entire function must be constant. A corollary of it shows that an entire function which

September 29, 11:40 Room N-130 Speaker: Alexander Rashkovskii (University of Stavanger, Norway) Title: Pluricomplex Green functions Abstract: The standard notion of Green’s functions for linear differential operators cannot be used directly in multidimensional complex analysis. Instead, several different concepts were introduced by choosing specific fundamental solutions of the (highly non-linear) complex Monge-Ampère equation. I will

Næsta málstofa verður þriðjudaginn 14. febrúar kl 13:20 í Naustinu, húsi Endurmenntunar. Fyrirlesari er Bergur Snorrason, Háskóla Íslands. Titill fyrirlestrarins er Growth of plurisubharmonic functions and multivariate polynomials. Ágrip: A common tool in pluripotential theory are extremal functions. One type of extremal functions are the Siciak-Zakharyuta functions. The Bernstein-Walsh theorem describes how these functions relate analytic continuation

Næsta málstofa verður þriðjudaginn 7. febrúar kl 13:20 í Naustinu, húsi Endurmenntunar (sami staður og fyrir áramót). Fyrirlesari er Álfheiður Edda Sigurðardóttir, Háskóla Íslands. Titill fyrirlestrarins er Weighted and graded pluripotential theory. Ágrip:  The Green function has a higher dimensional version called the pluricomplex Green function. The Siciak-Zakharjuta theorem states that the pluricomplex Green function

Auka málstofa verður þriðjudaginn 4. október 15:00 í stofu 261 í VRII. Fyrirlesari er Sigmundur Guðmundsson, Háskólanum í Lundi, Svíþjóð. Titill hans er Complex-Valued Harmonic Morphisms and Proper p-Harmonic Functions on Riemannian Symmetric Spaces – The Method of Eigenfamilies Abstract: Complex-valued proper $latex p$-harmonic functions ϕ:(M,g)→C on a Riemannian manifold are solutions to the 2p-th order