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Even $\mathrm{SO}(n)$ Equivariant Minkowski Valuations -- An Update Schuster, Franz
Description
To this day, the starting point for many important developments in valuation theory is Hadwiger's remarkable characterization of continuous rigid motion invariant real valued valuations as linear combinations of the intrinsic volumes. A fascinating open problem, dating back to work of R. Schneider from 1974, is the characterization of continuous {\it convex body valued} valuations which intertwine rigid motions. In this talk, we present some of the recent progress regarding this question. In particular, we discuss three different ways to represent an even such valuation, namely via Crofton measures, Klain bodies, and generating functions.
Item Metadata
Title |
Even $\mathrm{SO}(n)$ Equivariant Minkowski Valuations -- An Update
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-05-24T09:34
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Description |
To this day, the starting point for many important developments in valuation theory
is Hadwiger's remarkable characterization of continuous rigid
motion invariant real valued valuations as linear combinations of
the intrinsic volumes. A fascinating open problem, dating back to work of R. Schneider
from 1974, is the characterization of continuous {\it convex body valued} valuations which intertwine rigid motions.
In this talk, we present some of the recent progress regarding this question. In particular,
we discuss three different ways to represent an even such valuation, namely
via Crofton measures, Klain bodies, and generating functions.
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Extent |
28 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Vienna University of Technology
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Series | |
Date Available |
2017-11-21
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0358028
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International