Date: Wednesday, April 10, 2013
Location: 4096 East Hall (4:10 PM to 5:00 PM)
Title: Hadwiger's theorem for functions
Abstract: Hadwiger's theorem states that continuous valuations on convex sets in Euclidean
space that are invariant with respect to Euclidean motions are spanned by Minkowski functionals.
Valuations on functions - functionals satisfying v(f)+v(g)=v(max(f,g))+v(min(f,g)) - are natural generalizations of valuations on sets.
I will explain what are the reasonable classes of functions to serve as the domain of a valuation, and what notions of continuity to deploy to obtain a generalization of Hadwiger's theorem to functions.
Speaker: Yuliy Baryshnikov
Institution: University of Illinois, Urbana-Champaign
Event Organizer:
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