[Turkmath:7015] Burak Kaya (Odtu) @ Galatasaray Universitesi

[Galatasaray Üniversitesi Matematik Seminerleri]

*Speaker* : Dr. Burak Kaya, Ortadogu Teknik Üniversitesi

*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.


    When

Wednesday Feb 12, 2025 ⋅ 3pm – 4pm (Türkiye Time)


    Location

Room h307 - Galatasaray Üniversitesi, Ortaköy, Çırağan Cd. No:36, 34349 
Beşiktaş/İstanbul, Türkiye

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