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DTSTAMP:20251120T163400Z
DESCRIPTION:The Mathematics & Statistics Graduate Student Seminar will conv
 ene again this week at 1:00pm on Friday\, March 22\, in the Main Lounge (B
 urnside 1025). As usual\, there will be pizza.\n\n \n\nThis week\, Adrien 
 Abgrall will talk to us about topological dynamics and Ramsey theory:\n\n 
 \n\nA topological group is said to be 'extremely amenable' when any (conti
 nuous) action of it on a compact Hausdorff space has a global fixed point.
  Apart from the trivial group\, very few extremely amenable groups were kn
 own until in 1998\, V.G. Pestov published a proof of extreme amenability w
 ith a surprising ingredient : a well known theorem of Ramsey about colorin
 gs of finite sets. From there\, the method was generalised by Kechris\, Pe
 stov and Todorcevic in 2005\, building the foundations of a deep correspon
 dence between the actions of topological groups on compact sets\, and a re
 alization of those groups as automorphism groups of structures which satis
 fy 'Ramsey properties'\, that is to say where in any coloring (in a sense 
 to be defined) one can find arbitrary monochromatic substructures. We will
  try to present all the key ideas underlying this unexpected correspondenc
 e\, which has been interestingly refined since\, and see how it provides n
 umerous examples of extremely amenable groups. \n\n \n\nSee you all there!
 \n\n \n\nAll graduate students are invited. As with all talks in the gradu
 ate student seminar\, this talk will be accessible to all graduate student
 s in math and stats. This seminar was made possible by funding from the Mc
 Gill Mathematics and Statistics Department and PGSS.\n\n \n
DTSTART:20190322T170000Z
DTEND:20190322T180000Z
LOCATION:Room 1025\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Mathematics & Statistics Graduate Student Seminar: topological dyna
 mics and Ramsey theory
URL:/mathstat/channels/event/mathematics-statistics-gr
 aduate-student-seminar-topological-dynamics-and-ramsey-theory-295558
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