tvinnfallagreining

Málstofa: Benedikt Magnússon

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 […]

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Meistaraprófsfyrirlestur: Arngunnur Einarsdóttir

Á þriðjudaginn næsta, 26. september kl. 11:00, mun Arngunnur Einarsdóttir kynna meistraprófsritgerð sýna. Fyrirlesturinn fer fram í 422 í Árnagarði. Titill: Convergence of power series in several complex variables Ágrip: This MS thesis is a study of convergence sets of power series. In one complex variable it is simple to describe the convergence, for if

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Málstofa: Alexander Rashkovskii

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

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Málstofa: Bergur Snorrason

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

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Málstofa: Álfheiður Edda Sigurðardóttir

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

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Málstofa: Sigmundur Guðmundsson

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

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Evgeny Poletsky

Evgeny Poletsky frá Syracuse University er í heimsókn hjá okkur og mun hann halda fyrirlestur í Tvinnmálstofunni mánudaginn 30. maí kl. 11:00 í 227 í Tæknigarði. Titill: (Pluri)potential compactifications Ágrip: Using pluricomplex Green functions we introduce a compactification of a complex manifold M invariant with respect to biholomorphisms similar to the Martin compactification in the

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Meistaraprófsfyrirlestur: Eggert Karl Hafsteinsson

Föstudaginn 27. maí mun Eggert Karl Hafsteinnson kynna meistraprófsritgerð sína. Fyrirlesturinn byrjar klukkan 11:00 í V-152. Leiðbeinandi: Benedikt Steinar Magnússon Prófdómari: Tyson Ritter, Stafangri, Noregi Titill: Random Polynomials & Convex Bodies Ágrip: This thesis examines how three results in pluripotential theory can be generalized by replacing the usual polynomials with polynomials with respect to a

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Marko Slapar

Málstofa í stærðfræði Fyrirlesari: Marko Slapar, Háskólanum í Ljubljana, Slóveníu Titill: Thom conjecture in CP3 Staðsetning: Tg-227 í Tæknigarði. Tímasetning: Fimmtudaginn 7. apríl 2022, kl. 10:30. Ágrip: The result of Kronheimer and Mrowka from 1994 states that complex curves in CP2 are genus minimizers in their homology class. This is known as the Thom conjecture,

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Bergur Snorrason

Málstofa í stærðfræði Fyrirlesari: Bergur Snorrason, Háskóla Íslands Titill: Rudin-Carleson-setning fyrir margfaldlega samanhangandi svæði og með brúun Staðsetning: Tg-227 í Tæknigarði. Tímasetning: Fimmtudaginn 24. mars 2022, kl. 10:30. Ágrip: A common topic in complex analysis is extensions and interpolation. We will prove a generalization of the Rudin-Carleson theorem extension theorem for finitely connected bounded domains

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