[Turkmath:7336] ODTÜ Matematik Bölümü Genel seminer 20.11.2025

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-------- Özgün İleti --------
Konu: [ODTU-MATH: 5751] Re: General seminar 20.11.2025
Tarih: 2025-11-24 10:56
Gönderen: zheltukh at metu.edu.tr
Alıcı: odtu-math at metu.edu.tr

  Dear all,


  You are cordially invited to this week Mathematical Department
  General Seminar.

  Speaker: Burak Kaya

  Title: Descriptive graph combinatorics and 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 the Borel distinguishing number of Borel graphs. The  
results in the second half are from a joint work with Onur Bilge.

  Date:  November 27, 2025

  Time: 15:40

  Place: Gündüz Ikeda Seminar Room



    On behalf of research committee,
    Kostyantyn Zheltukhin



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