Title	Complex analogue of the algebra of even valuations on convex sets
Creator	Alesker, Semyon
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-02-13T10:41
Description	The multiplicative structure on translation invariant valuations was introduced by the speaker about 15 years ago. Since than a number of non-trivial properties of this product has been discovered and several applications to integral geometry were found. In this talk we construct a complex analogue of the algebra of even translation invariant valuations and establish several properties of it. The construction and proofs use Radon and cosine transform on complex Grassmannians. If time permits we will describe briefly further analogues of this algebra over non-Archimedean local fields.
Extent	33.0 minutes
Subject	Mathematics; Convex and discrete geometry; Functional analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Tel Aviv University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-08-12
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0392697
URI	http://hdl.handle.net/2429/75426
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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