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Big Ramsey degrees of the Urysohn sphere de Rancourt, Noe

Description

I will present a joint work with Tristan Bice, Jan Hubička and Matěj Konečný where we gave a sense to, and computed, the big Ramsey degrees of the Urysohn sphere (not a discrete version of it, but the actual, continuous one). In our setting, big Ramsey degrees are invariants containing not only quantitative, but also geometric information: they are compact metric spaces. In particular, we recover, by a different method, the oscillation stability result by Nguyen van Thé and Sauer.

Item Metadata

Title
Big Ramsey degrees of the Urysohn sphere
Creator
de Rancourt, Noe
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2025-11-27
Description
I will present a joint work with Tristan Bice, Jan Hubička and Matěj Konečný where we gave a sense to, and computed, the big Ramsey degrees of the Urysohn sphere (not a discrete version of it, but the actual, continuous one). In our setting, big Ramsey degrees are invariants containing not only quantitative, but also geometric information: they are compact metric spaces. In particular, we recover, by a different method, the oscillation stability result by Nguyen van Thé and Sauer.
Extent
34.0 minutes
Subject
Mathematics; Mathematical Logic; Mathematical Logic And Foundations; Combinatorics
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: University of Lille
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2025-12-01
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0450918
URI
http://hdl.handle.net/2429/93083
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Researcher
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International