<div class="csl-bib-body">
<div class="csl-entry">Knörr, J. (2023, July 20). <i>Algebraic Integral Geometry for Monge-Ampère operators</i> [Conference Presentation]. Miniworkshop Modern valuation theory 2023, Jena, Germany.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/190161
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dc.description.abstract
Monge-Ampère operators play an important role in the construction of invariant valuations on convex functions. Conversely, translation equivariant Monge-Ampère operators can be identified with certain measure-valued valuations on the space of finite convex functions. In this talk we will discuss how this description gives rise to additive kinematic formulas encoded in a convolution product. Moreover, we will see that this product structure satisfies the mixed Hodge-Riemann bilinear relations, which provides a natural way to interpret the higher order versions of Alexandrov’s mixed discriminant inequality.
en
dc.language.iso
en
-
dc.subject
convex function
en
dc.subject
mixed discriminant
en
dc.subject
Monge-Ampère operator
en
dc.title
Algebraic Integral Geometry for Monge-Ampère operators
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Conference Presentation
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tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E104-07 - Forschungsbereich Geometrische Analysis
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tuw.event.name
Miniworkshop Modern valuation theory 2023
en
tuw.event.startdate
19-07-2023
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tuw.event.enddate
21-07-2023
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tuw.event.online
Hybrid
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tuw.event.type
Event for scientific audience
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tuw.event.place
Jena
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tuw.event.country
DE
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tuw.event.presenter
Knörr, Jonas
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tuw.event.track
Single Track
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.languageiso639-1
en
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item.openairetype
conference paper not in proceedings
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item.grantfulltext
none
-
item.fulltext
no Fulltext
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item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_18cp
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crisitem.author.dept
E104-07 - Forschungsbereich Geometrische Analysis
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
