Sibel Sahin: An introduction to toric pluripotential theory
Title: An introduction to toric pluripotential theory.
Abstract: In this talk we will consider the finite energy classes of quasiplurisubharmonic (qpsh) functions in the setting of toric, compact, Kähler manifolds. In the first part of the talk we will consider the basic facts about weighted energy classes, geometry of the toric compact Kähler manifolds and the advantages/relations of this highly symmetric setting with the geometry in R^n. In the second part of the talk, we will see that we can associate each qpsh function \varphi on (X,\omega) with a convex function F_\varphi in R^n and another convex function G_\varphi (which happens to be the Legendre transform of F_\varphi) on the associated Delzant polytope P. Then we are going to show how the growth and singularity behaviour of one of these components affects the behaviour of the other two in their respective domains. This is a joint work with Dan Coman (SU), Vincent Guedj (IMT) and Ahmed Zeriahi (IMT).
Seminar bo v predavalnici 3.06 na Jadranski 21. Vljudno vabljeni!
Vodji seminarja
Franc Forstnerič in Barbara Drinovec Drnovšek
