Alfheidur Edda Sigurdardottir: Pluripotential theory associated to a convex set
V torek, 12. novembra ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predavala dr. Alfheidur Edda Sigurdardottir z Univerze na Islandiji, Reykyavik in IMFM, Ljubljana.
Title: Pluripotential theory associated to a convex set.
Abstract: The Newton polytope of a polynomial is the convex hull of the exponents b such that the coefficient in front of z^b is non-zero. To understand the properties of the family of all polynomials with some prescribed Newton polytope, we employ methods from pluripotential theory. We consider a Siciak-Zakharyuta function, also known as a pluricomplex Green function, except that its logarithmic growth is replaced by growth bounded by H_S, where H_S denotes the support function of some compact convex set S, in logarithmic coordinates. The reason for this choice of growth is that if p is a polynomial then log|p| grows slower than H_S if and only if the Newton polytope of p is contained in S. These were the themes of my recently completed Ph.D. project, under the supervision of Ragnar Sigurdsson and Benedikt Steinar Magnusson at the University of Iceland.
Predavanje bo potekalo hibridno, v predavalnici 3.05 na Jadranski 21 in preko aplikacije ZOOM:
https://uni-lj-si.zoom.us/j/99382527395
Meeting ID: 993 8252 7395
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Vodji seminarja
Franc Forstneric in Barbara Drinovec Drnovsek
