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SUMMARY:Generalised convexity with respect to families of affine maps - Ol
eksandr Marynych (National University of Kyiv)
DTSTART;VALUE=DATE-TIME:20231023T140000
DTEND;VALUE=DATE-TIME:20231023T150000
UID:https://new.talks.ox.ac.uk/talks/id/b57c8709-2e92-4340-9875-befd1030ef
76/
DESCRIPTION:The standard convex closed hull of a subset of $\\mathbb{R}^d$
is defined as the intersection of all images\, \nunder the action of a gr
oup of rigid motions\, of a half-space containing the given set. We propos
e \na generalisation of this classical notion\, that we call a $(K\,\\math
bb{H})$-hull\, and which is obtained from the \nabove construction by repl
acing a half-space with some other convex closed subset $K$ of the \nEucli
dean space\, and a group of rigid motions by a subset $\\mathbb{H}$ of the
group of invertible affine \ntransformations. The above construction enco
mpasses and generalises several known models in convex \nstochastic geomet
ry and allows us to gather them under a single umbrella. The talk is based
on recent \nworks by Kalbuchko\, Marynych\, Temesvari\, ThÃ¤le (2019)\, M
arynych\, Molchanov (2022) and Kabluchko\, \nMarynych\, Molchanov (2023+).
\n\n\nSpeakers:\nOleksandr Marynych (National University of Kyiv)
LOCATION:Mathematical Institute (L5)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://new.talks.ox.ac.uk/talks/id/b57c8709-2e92-4340-9875-befd1030ef
76/
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DESCRIPTION:Talk:Generalised convexity with respect to families of affine
maps - Oleksandr Marynych (National University of Kyiv)
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