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SUMMARY:Ramsey theory on homogeneous structures - Natasha Dobrinen (Denver
 )
DTSTART:20220217T143000Z
DTEND:20220217T153000Z
UID:TALK170417@talks.cam.ac.uk
CONTACT:103978
DESCRIPTION:Ever since Ramsey proved his seminal theorem for colorings of 
 finite sets of natural numbers\, a question of interest has been the follo
 wing:  Which infinite structures carry analogues of the Infinite Ramsey Th
 eorem?  We will survey results and methods\, beginning with Sierpinski's u
 navoidable 2-coloring of pairs of rationals in the 1930's through exact re
 sults on the Rado graph due to Laflamme\, Sauer\, and Vuksanovic in 2006. 
  Then we will discuss new methods applicable to Ramsey theory on the trian
 gle-free Henson graph\, begun in 2015 while the speaker was visiting the I
 NI\, and survey recent extensions to other homogeneous structures with for
 bidden irreducible substructures.  \n\n
LOCATION:MR12
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