Remarks on the integral comparison principle for Hessian operators

par Sławomir Dinew (Jagiellonian University)

jeudi 3 déc. 2026, 10:15 → 11:30 Europe/Paris

One of the most powerful tools in pluripotential theory is the (integral)
comparison principle: roughly speaking this is a generalisation of the
classical maximum principle that applies for not-necessarily smooth
plurisubharmonic functions.

In this talk I will focus on more general classes of Hessian operators and
the associated admissible functions. The basic problem is to classify
these for which the integral comparison principle remains valid. This is a
joint work with M. Sroka and S. Myga.