[Turkmath:7004] Seminer Daveti: Burak Kaya (Odtu) @ Galatasaray Universitesi

[Gonenc ONAY]

Speaker : Dr. Burak Kaya, Ortadogu Teknik Üniversitesi
Date/Time: Wednesday Feb 12, 2025 ⋅ 3pm – 4pm (Türkiye Time)
Location: Room h307 - Galatasaray Üniversitesi, Ortaköy, Çırağan Cd.
No:36, 34349 Beşiktaş/İstanbul, Türkiye

Title: Borel distinguishing number

Abstract: In broadest sense, descriptive graph combinatorics is the
study of "definable" graphs on Polish spaces that incorporates the
descriptive set theoretic point of view into the graph-theoretic point
of view. This is usually done by demanding various graph-theoretic
objects such as edge relations, colorings, automorphisms to have
topological/measure-theoretic properties such as being Borel,
projective, continuous, closed and asking to what extent classical
results of graph theory generalize to measurable setting. Over the last
two decades, numerous interesting results have been proven which
demonstrate that this point of view is more than a mere specialization
that lead to fruitful ideas. In the first half of this talk, after
recalling some basic descriptive set theoretic notions, we shall give a
brief overview of some fundamental results in descriptive graph
combinatorics. In the second half of this talk, we will cover some new
results regarding Borel distinguishing numbers. The results in the
second half are from a joint ongoing work with Onur Bilge.



Gönenç Onay

--
https://onayg.com


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