Knörr, J. (2023, September 25). Monge-Ampère operators and valuations [Conference Presentation]. Conference on Convex Geometry and Geometric Probability 2023, Salzburg, Austria.
Conference on Convex Geometry and Geometric Probability 2023
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Event date:
25-Sep-2023 - 29-Sep-2023
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Event place:
Salzburg, Austria
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Keywords:
convex function; valuation; Monge-Ampère operator
en
Abstract:
Monge-Ampère-type operators play an important role in many problems in analysis and geometry. Many of these operators can naturally be considered as measure-valued valuations on spaces of convex functions, and consequently, they have found a number of applications in the construction of invariant valuations on convex bodies and convex functions. In this talk, I will present a characterization of a certain class of measure-valued valuations and different descriptions of these functionals in terms of mixed Monge-Ampère operators and differential forms.
