Ruprecht-Karls-Universität Heidelberg
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„The curve graph from the point of view of model theory“
Dr. Javier de la Nuez González, University of the Basque Country, Spain

Differential Geometry Seminar "The curve graph from the point of view of model theory" Dr. Javier de la Nuez Gonzalez, University of the Basque Country, Bilbao, Spain Abstract: I will discuss joint work in preparation with Valentina Disarlo and Thomas Koberda in which we study the curve graph from the point of view of logic. In particular, we prove that it is an omega-stable structure, which means that there is a well-behaved notion of dimension, it's Morley rank, that measures the degrees of freedom of any set definable with parameters (a notion that generalizes Krull dimension for constructible sets in algebraically closed fields). I will address the notion of (bi)-interpretability, which allows to compare the logical strength of theories in different languages, its role in the proof and potential strategies for finding obstructions to the mutual (bi)-interpretability of different geometric complexes. Donnerstag, den 09. Januar 2020 um 14.00 Uhr, SR 5, INF 205

Donnerstag, den 9. Januar 2020 um 14:00 Uhr, in INF205, SR 5 Donnerstag, den 9. Januar 2020 at 14:00, in INF205, SR 5

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Anna Wienhard