BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251103T023141EST-8023wGb7ju@132.216.98.100 DTSTAMP:20251103T073141Z DESCRIPTION:Title: An introduction to Borel chromatic numbers.\n\nThe Borel chromatic number – introduced by Kechris\, Solecki\, and Todorcevic (1999 ) – generalizes the chromatic number on finite graphs to definable graphs on topological spaces. We will see examples of graphs with chromatic numbe r 2 which cannot be colored in a Borel way with less than 3 colors (or eve n any finite number of colors). Many interesting examples of Borel graphs also arise from the continuous or Borel action of a finitely generated gro up on a topological space. I will explain the proof that a Borel graph wit h bounded degree k can always be colored using k+1 colors in a Borel way. Finally I will discuss the problem of characterizing the Borel graphs with finite Borel chromatic number.\n DTSTART:20180912T190000Z DTEND:20180912T200000Z LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Yann Pequignot (9IÖÆ×÷³§Ãâ·Ñ) URL:/mathstat/channels/event/yann-pequignot-mcgill-uni versity-289487 END:VEVENT END:VCALENDAR